# Solving equations

This course is a part of Algebra I, a 17-course Topic series from Khan Academy.

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

This course contains 11 segments:

Algebraic equations basics

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

Why we do the same thing to both sides of an equation

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

One-step addition & subtraction equations

Solve equations by adding and subtracting numbers from both sides.

One-step multiplication & division equations

Solve equations by multiplying and dividing numbers from both sides.

Two-steps equations intro

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

Two-step equation word problems

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

Linear equations with variables on both sides

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

Linear equations with parentheses

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

Analyzing the number of solutions to linear equations

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.

Linear equations word problems

Solve word problems by creating linear equations and solving them.

Linear equations with unknown coefficients

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

Rating Not enough ratings 11 segments On Demand (Start anytime) Free Khan Academy On all desktop and mobile devices English Mathematics Math Algebra I

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