Respuesta :

Space

Answer:

[tex]\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

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

Algebra I

  • Factoring

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 10 = ax + bx[/tex]

Step 2: Solve for x

  1. Factor:                                                                                                               [tex]\displaystyle 10 = ax + bx \rightarrow 10 = x(a + b)[/tex]
  2. [Division Property of Equality] Divide a + b on both sides:                           [tex]\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}[/tex]