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10=ax+bx solve for x
With steps please

1 Answer

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Answer:


\displaystyle 10 = ax + bx \rightarrow x = (10)/(a + b)

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

Explanation:

Step 1: Define

Identify


\displaystyle 10 = ax + bx

Step 2: Solve for x

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