Lesson 2 of 4

Solving Linear Equations

Master the techniques for solving linear equations, from simple one-step problems to complex multi-step equations with variables on both sides.

Core50 min

Solving Linear Equations

The Balance Method

Think of equations as a balanced scale. Whatever you do to one side, you must do to the other.

Solution Strategies

1. Simplify each side (combine like terms) 2. Use inverse operations to isolate the variable 3. Check your solution by substituting back

Watch: Linear Equations Masterclass

15 min · watch

Learn systematic approaches to solving any linear equation.

Read: Step-by-Step Guide

12 min · read

Equation Solving Strategies

Example: $3(x + 2) = 2x + 11$

Step 1: Distribute $3x + 6 = 2x + 11$

Step 2: Collect variables on one side $3x - 2x + 6 = 11$ $x + 6 = 11$

Step 3: Isolate the variable $x = 11 - 6$ $x = 5$

Step 4: Check 3(5 + 2) = 3(7) = 21 âœ“ 2(5) + 11 = 10 + 11 = 21 âœ“

Interactive: Equation Solver Simulator

18 min · practice

Use visual models to understand how operations affect both sides of an equation.

Practice: Solve and Check

5 min · quiz

Question

Solve for $x$ : $2x + 5 = 13$

Question

Solve for $y$ : $3y - 7 = y + 9$

Previous Next Lesson

Solving Linear Equations

The Balance Method

Solution Strategies

Watch: Linear Equations Masterclass

Read: Step-by-Step Guide

Equation Solving Strategies

Example: 3(x+2)=2x+113(x + 2) = 2x + 113(x+2)=2x+11

Interactive: Equation Solver Simulator

Practice: Solve and Check

Solving Linear Equations

The Balance Method

Solution Strategies

Watch: Linear Equations Masterclass

Read: Step-by-Step Guide

Equation Solving Strategies

Example: 3(x+2)=2x+113(x + 2) = 2x + 113(x+2)=2x+11

Interactive: Equation Solver Simulator

Practice: Solve and Check

Example: $3(x + 2) = 2x + 11$

Example: $3(x + 2) = 2x + 11$