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Q39.

Expert-verified

Pre-algebra

Found in: Page 691

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Solve the equation. Check your solution.

$5 x - 12 = 38$

The solution of equation is 10.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The given equation is $5 x - 12 = 38$ .

Step 2. Calculation.

Solve the given equation by shifting the constant from left hand side to right hand side.

$\begin{matrix} 5 x - 12 = 38 \\ 5 x = 38 + 12 \\ 5 x = 50 \end{matrix}$

Divide the equation by 5.

$\begin{matrix} \frac{5 x}{5} = \frac{50}{5} \\ x = 10 \end{matrix}$

Hence, the value of x after solving the equation is 10.

Step 3. Check the answer

Substitute 10 for x in the given equation

$\begin{matrix} 5 (10) - 12 = 38 \\ 50 - 12 = 38 \\ 38 = 38 \end{matrix}$

Since left side equal to the right side. Therefor the solution of the equation is 10.

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