How do you solve a two-step equation?

Undo addition or subtraction first, then undo multiplication or division, keeping both sides balanced.

A variable is a letter that stands for an unknown number you're solving for, most often x.

Linear Equations · Grades 7–8

Linear Equations Worksheets

Linear equation worksheets from one-step problems through variables on both sides. Treat it as a balance scale, do the same to each side, and the method never really changes.

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What it is

A linear equation is a balance: whatever you do to one side you must do to the other to keep it equal while you isolate the variable.

Why it matters

Solving equations is the core skill of algebra and the gateway to functions, graphing, and virtually all of secondary and post-secondary math.

How to do it

Simplify each side, then collect the variable terms on one side.
Undo addition or subtraction first, then undo multiplication or division.
State the value of x and check it in the original equation.

Examples by level

Beginner2x = 2x = 1
Intermediate8x − 4 = 4x − 12x = -2
Advanced10x − 8 = 11x + 4x = -12

Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.

Common mistakes

Doing an operation to only one side of the equation.
Sign errors when moving terms across the equals sign.
Dividing before undoing addition or subtraction.

Tips

Always do the same operation to both sides.
Check your answer by substituting it back into the equation.

For parents

Treat the equation as a balance scale, whatever you do to one side, do to the other.

For teachers

Insist students verify each solution by substitution; it catches sign errors and builds confidence.

Key vocabulary

variable: an unknown value, often written x
coefficient: the number multiplying the variable

Frequently asked questions

How do you solve a two-step equation?: Undo addition or subtraction first, then undo multiplication or division, keeping both sides balanced.
What is a variable?: A variable is a letter that stands for an unknown number you're solving for, most often x.

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