Free, with every step shown

Math Problem Solver: Type It In, Get the Steps

Type a problem and the solver shows the answer and every step. 2x + 3 = 11 gives x = 4 (subtract 3, divide by 2). x² − 5x + 6 = 0 gives x = 2 or x = 3. 135/180 simplifies to 3/4, and 15% of 200 is 30.

It handles equations, quadratics, two-equation systems, expressions, percents, fractions and factoring. For word problems, calculus or anything else it tells you so and links to the right tool, rather than guessing.

Type your math problem

Equations, quadratics, two-equation systems, expressions, percents, fractions and factoring. Answers update as you type.

Linear equation

x = 11

  1. Start: 3(x - 2) = 2x + 5
  2. Expand and combine like terms: 3x - 6 = 2x + 5
  3. Collect x terms on the left and numbers on the right: x = 11
  4. Check: put x = 11 back in. Left side = 27, right side = 27. They match.

Worked examples

Three problems that come up constantly, solved the way the tool does it.

Example 1: Solve 3(x − 2) = 2x + 5

Find x.

  1. Expand the bracket: 3x − 6 = 2x + 5
  2. Subtract 2x from both sides: x − 6 = 5
  3. Add 6 to both sides: x = 11

x = 11. Check: 3(11 − 2) = 27 and 2(11) + 5 = 27, so both sides match.

Example 2: Solve x + y = 10 and x − y = 2

Find x and y.

  1. Add the two equations: (x + y) + (x − y) = 10 + 2, so 2x = 12
  2. Divide by 2: x = 6
  3. Put x = 6 in x + y = 10: y = 4

x = 6, y = 4. Check: 6 + 4 = 10 and 6 − 4 = 2.

Example 3: Simplify 135/180

Write the fraction in lowest terms.

  1. Greatest common factor of 135 and 180: 45 (135 = 3 × 45, 180 = 4 × 45)
  2. Divide top and bottom by 45: 135 ÷ 45 = 3, 180 ÷ 45 = 4

135/180 = 3/4 (0.75). 3 and 4 share no factor, so it cannot reduce further.

For more methods, browse the step-by-step how-to-solve guides, including linear equations, the quadratic formula and systems of equations.

How to solve any math problem

  1. Name the problem type. An “=” with one letter is an equation, two equations with x and y is a system, “% of” is a percent, a fraction bar with whole numbers is a simplify, and a number to break apart is a factoring question.
  2. Pick the matching method. Equations: isolate the letter with inverse operations. Quadratics: the quadratic formula or factoring. Systems: add or subtract the equations to remove one letter. Fractions: divide by the greatest common factor.
  3. Change one thing per line. Doing the same operation to both sides keeps an equation true, and one change per line makes a slip easy to find.
  4. Check the answer. Substitute it into the original problem. If both sides match, you are done; if not, the first line that stops making sense is where the error is.

Word problem, graph or photo of the question?

Send the whole question to the MathAI GPT math solver and get a step-by-step explanation. On your phone, use MathAI GPT - Math Solver for iPhone or MathAI GPT for Android.

Math problem solver FAQ

How do I solve a math problem step by step?

Read the problem and decide what is being asked, choose the method (isolate the variable for an equation, use the quadratic formula for ax² + bx + c = 0, divide by the greatest common factor to simplify a fraction), do one operation per line, then check the answer by putting it back into the original problem.

What kinds of math problems can this solver do?

Linear equations (2x + 3 = 11), quadratic equations (x² − 5x + 6 = 0), two linear equations in x and y, expressions to evaluate or expand, “15% of 200” and “20 is what percent of 80”, simplifying fractions like 135/180, factoring a quadratic, and prime factorization. Calculus, matrices, statistics and word problems are routed to the matching calculator or the AI solver.

How do I solve for x in an equation?

Do the same operation to both sides until x is alone. For 3(x − 2) = 2x + 5: expand to 3x − 6 = 2x + 5, subtract 2x from both sides to get x − 6 = 5, then add 6 to get x = 11. Check: 3(11 − 2) = 27 and 2(11) + 5 = 27.

How do I solve a quadratic equation?

Move everything to one side so it reads ax² + bx + c = 0, then use x = (−b ± √(b² − 4ac)) ÷ 2a. For x² − 5x + 6 = 0, a = 1, b = −5, c = 6, so the discriminant is 25 − 24 = 1 and x = (5 ± 1) ÷ 2, giving x = 3 or x = 2. A negative discriminant means no real solutions.

Is the answer exact, and can I trust it?

Every number is held as an exact fraction, so 0.1x + 0.2 = 0.5 gives exactly x = 3 and not 2.9999999. Each solution ends with a check that substitutes the answer back into the problem. For a graded assignment, still follow your teacher’s required method and show your own working.

What if my problem is a word problem or something this page cannot solve?

The page tells you instead of guessing. Longer word problems and topics such as derivatives, integrals, limits, matrices and probability link to the dedicated calculator, or to the MathAI GPT solver, which can take the whole question typed or as a photo and explain each step.

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