Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.5 - Rewriting Equations and Formulas - Exercises - Page 40: 25

Answer

Incomplete solution.

Work Step by Step

The given equation is $12-2x=-2(y-x)$ Subtract $12$ from each side. $12-2x-12=-2(y-x)-12$ Simplify. $-2x=-2(y-x)-12$ Divide each side by $-2$. $\frac{-2x}{-2}=\frac{-2(y-x)-12}{-2}$ Simplify. $x=(y-x)+6$ Add $x$ to each side. $x+x=y-x+6+x$ Simplify. $2x=y+6$ Divide each side by $2$. $\frac{2x}{2}=\frac{y+6}{2}$ Simplify. $x=\frac{y+6}{2}$ Hence, the given solution is incomplete.
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