Medium📚 Linear Equations

Solve Linear Equation Step by Step

Grades 7-8 (Pre-Algebra)Key Stage 3Årskurs 7-8

Problem

Solve for x: 2(x - 3) = 4x + 6

📝Step-by-Step Solution

Distribute on the left side

Multiply 2 by each term inside the parentheses: 2(x - 3) = 2x - 6

2x - 6 = 4x + 6

Get all x terms on one side

Subtract 4x from both sides to move x terms to the left: 2x - 4x - 6 = 4x - 4x + 6

-2x - 6 = 6

Get constants on the other side

Add 6 to both sides to isolate the x term: -2x - 6 + 6 = 6 + 6

-2x = 12

Solve for x

Divide both sides by -2: -2x ÷ (-2) = 12 ÷ (-2)

x = -6

Check the solution

Substitute x = -6: Left side: 2(-6 - 3) = 2(-9) = -18. Right side: 4(-6) + 6 = -24 + 6 = -18 ✓

✅Final Answer

x = -6

To solve linear equations: (1) Distribute to remove parentheses, (2) Combine like terms, (3) Move all variable terms to one side and constants to the other, (4) Divide to isolate the variable. Always check your answer!

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Learn more about Linear Equations

This worked example is part of the broader linear equations guide. Review the method, practice related skills, and create a printable assessment when you are ready.

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📖More Linear Equations Examples

Solve 3x + 7 = 22 Step by Step

Solve for x: 3x + 7 = 22

Easy

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