Explanation Given Information: The provided equation is; 3 ( x − 2 ) + 4 ( 3 − 2 x ) = 9 Formula used: To simplify equations with parenthesis, Remove parenthesis and combine like terms. The distributive property is; a ( b + c ) = a b + a c Calculation: Consider the equation, 3 ( x − 2 ) + 4 ( 3 − 2 x ) = 9 Open the parenthesis as; 3 ( x − 2 ) + 4 ( 3 − 2 x ) = 9 3 x − 6 + 12 − 8 x = 9 Combine like terms, 3 x − 8 x + 6 = 9 − 5 x + 6 = 9 Subtract 6 from both sides, − 5 x + 6 − 6 = 9 − 6 − 5 x = 3 Divided − 5 on both sides as; − 5 x − 5 = 3 − 5 x = − 3 5 Therefore, the value of x is x = − 3 5

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

12th Edition

ISBN: 9781337890199

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 8, Problem 13CR

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Chapter 8, Problem 12CR

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Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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The solution of the equation 3 ( x − 2 ) + 4 ( 3 − 2 x ) = 9 .

Solution Summary: The author explains the formula used to simplify equations with parenthesis and combine like terms.

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