Answer:
[tex]\displaystyle x = \frac{b}{1 + a}[/tex]
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
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle x + ax = b[/tex]
Step 2: Solve for x
- Factor: [tex]\displaystyle x(1 + a) = b[/tex]
- [Division Property of Equality] Divide 1 + a on both sides: [tex]\displaystyle x = \frac{b}{1 + a}[/tex]