# One-variable linear equations

Contents

Learn how to solve linear equations that contain a single variable. For example, solve 2(x+3)=(4x-1)/2+7.

15 exercises available

Explore what it means for equations with variables (algebraic equations) to be solved.

A high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it

Solve equations by adding and subtracting numbers from both sides.

Solve equations by multiplying and dividing numbers from both sides.

Learn how to solve equations like 2x+7=13 and 3(x+4)=3, which can be solved in two steps.

Learn how to set up and solve equations to find answers to real-world questions.

Learn how to solve linear equations that have the variable on both sides of the equation. For example, solve 2x+5=6x-3.

Learn how to solve linear equations with parentheses using the distributive property. For example, solve -9 - (9x - 6) = 3(4x + 6).

Linear equations can either have a single solution, infinite solutions, or no solutions. Learn how to determine the number of solutions to a given equation, and how to create equations with a desired number of solutions.

Solve word problems by creating linear equations and solving them.

An equation like ax+3x=bx+5 can still be solved for x even though some of the coefficients are variables.