Question

What are the steps to solve for x?

x+ax=b

Answer 1

`\displaystyle x = (b)/(1 + a)`

General Formulas and Concepts:

Algebra I

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Terms/Coefficients

• Factoring

Explanation:

Step 1: Define

Identify.

`\displaystyle x + ax = b`

Step 2: Solve for x

1. Factor:
   `\displaystyle x(1 + a) = b`
2. [Division Property of Equality] Divide 1 + a on both sides:
   `\displaystyle x = (b)/(1 + a)`