Solve linear equations

Solving linear equations is a fundamental skill in algebra. The goal is to isolate the variable by performing inverse operations on both sides of the equation to maintain balance.

Do this: Read the concept below, then try the quiz or activity.

Lesson 1 of 212

Concept

One-Step Equations:
*   x + 5 = 12  -> Subtract 5 from both sides: x = 7
*   y - 3 = 8   -> Add 3 to both sides: y = 11
*   4a = 20      -> Divide both sides by 4: a = 5
*   b / 2 = 9   -> Multiply both sides by 2: b = 18

Two-Step Equations:
*   2x + 3 = 13
    1.  Subtract 3 from both sides: 2x = 10
    2.  Divide by 2: x = 5

Multi-Step Equations:
*   3(x - 2) + 4 = 19
    1.  Distribute: 3x - 6 + 4 = 19
    2.  Combine like terms: 3x - 2 = 19
    3.  Add 2 to both sides: 3x = 21
    4.  Divide by 3: x = 7

Try it

Practice: Solve linear equations.

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