Explanation Procedure used: Steps for Solving an Equation: Step 1: If parentheses are present, use the distributive property. Step 2: Combine any like terms on each side of the equation. Step 3: Use the addition property of equality to rewrite the equation so that variable terms are on one side of the equation and constant terms are on the other side. Step 4: Use the multiplication property of equality to divide both sides by the numerical coefficient of the variable to solve. Step 5: Check the solution in the original equation. Calculation: Add 1 to both sides of the equation 2 x − 1 = − 7 . 2 x − 1 + 1 = − 7 + 1 2 x = − 6 2 2 x = − 6 2 [ Divide both sides by 2 ] x = − 3 Thus, the value of x is − 3

Basic College Mathematics With Early Integers (4th Edition)

4th Edition

ISBN: 9780135176931

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter 8.4, Problem 45E

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To solve: The equation 2x−1=−7.

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Chapter 8.4, Problem 44E

Chapter 8.4, Problem 46E

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Chapter 8 Solutions

Basic College Mathematics With Early Integers (4th Edition)

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

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The equation 2 x − 1 = − 7 .

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To solve: The equation 2x−1=−7.

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Chapter 8 Solutions