Master the foundational skill of algebra: solving equations like 3x + 5 = 14 with confidence.
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Solve Now →A linear equation is an equation where the variable (usually x) has an exponent of 1—no x², no √x, just plain x. Examples include 2x + 3 = 11 and 5 - 4x = 3x + 12.
The goal is always the same: isolate x on one side of the equals sign. Whatever you do to one side, you must do to the other to keep the equation balanced—like a scale.
For a deeper dive into the theory, see Khan Academy's algebra course.
If there are parentheses, distribute first. Then combine like terms on each side separately.
If x appears on both sides, add or subtract to get all x terms on one side (usually the left).
Add or subtract to get all numbers (without x) on the opposite side from your variable.
Divide (or multiply) both sides by the coefficient of x to get x alone.
Substitute your answer back into the original equation. Both sides should be equal.
Example 1: Simple two-step equation
Solve: 4x - 7 = 13
Example 2: Variables on both sides
Solve: 7x - 4 = 3x + 12
Example 3: With distribution
Solve: 3(2x - 1) = 4x + 7
Forgetting to apply operations to BOTH sides
If you add 5 to the left, you must add 5 to the right too.
Sign errors when moving terms
Moving +3 to the other side means subtracting 3, not adding.
Distributing incorrectly
In 2(x - 3), the 2 multiplies BOTH x AND -3, giving 2x - 6.
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