Question

What are the steps to solve for x? x+ax=b

Answer 1

Answer:

$\displaystyle x = \frac{b}{1 + a}$

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

Step-by-step 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:                        $\displaystyle x = \frac{b}{1 + a}$