How to Solve Linear Equations Step by Step

What Is a Linear Equation?

A linear equation is an equation where the variable has an exponent of 1. The general form is \( ax + b = c \).

Step-by-Step Method

1. Simplify both sides: Use the distributive property and combine like terms.
2. Move variable terms to one side: Use addition or subtraction.
3. Move constants to the other side: Use addition or subtraction.
4. Isolate the variable: Divide by the coefficient.

Example

Solve \( 5x + 3 = 28 \):

1. Subtract 3: \( 5x = 25 \)
2. Divide by 5: \( x = 5 \)

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