Explanation Given Information: The provided equation is 10 − 3 ( 2 x − 1 ) = 1 . Formula used: Addition property: If a = b , then a + c = b + c , where a , b , and c are any real numbers. Division property: If a = b , then a c = b c , where a , b , and c are any real numbers and c ≠ 0 . Distributive property: For any real numbers a , b , c such that a ( b + c ) = a b + a c . The following steps are used to solve the equation: Step 1: Multiply the equations on both sided to remove the fractions or decimals. Step 2: Remove the parenthesis with the help of distributive property. Step 3: Collect the like terms from each side if it is necessary. Step 4: Separate the all variable terms on each side and all constants on each side with the help of addition property. Step 5: Collect the like terms from each side again if it is necessary. Step 6: Now solve the variable with the help of multiplication or division property. Step 7: Now check the solution in the provided equation. Calculation: Consider the provided equation. 10 − 3 ( 2 x − 1 ) = 1 Apply distributive property to remove the parentheses on left side of the equation. 10 − 6 x + 3 = 1 13 − 6 x = 1 Apply addition property, add − 13 to both sides of the equation

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ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 8.3, Problem 72ES

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To calculate: The solution of the equation 10−3(2x−1)=1.

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Chapter 8.3, Problem 71ES

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Chapter 8 Solutions

Developmental Mathematics (9th Edition)

Ch. 8.1 - Objective 7.1a: Evaluate algebraic expressions by...Ch. 8.1 - Prob. 2SR Ch. 8.1 - Prob. 1DE Ch. 8.1 - Prob. 2DE Ch. 8.1 - Prob. 3DE Ch. 8.1 - Prob. 4DE Ch. 8.1 - Prob. 5DE Ch. 8.1 - Prob. 6DE Ch. 8.1 - Prob. 7DE Ch. 8.1 - Prob. 8DE

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The solution of the equation 10 − 3 ( 2 x − 1 ) = 1 .

Solution Summary: The author calculates the solution of the equation 10-3(2x-1)=1.

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