Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-2 Solving Two-Step Equations - Practice and Problem-Solving Exercises - Page 92: 51



Work Step by Step

The original equation is $2x-4=8$. We need to begin by isolating the variable. We can do so by first adding $4$ to each side. $2x-4+4=8+4$ Now, the equation should look like this: $2x=12$. To solve for $x$, divide each side of the equation by $2$ to isolate the variable. $\frac{2x}{2}=\frac{12}{2}$ $2x\div2$ cancels out the $2$, leaving just $x$. $12\div2=6$. Now, you have successfully solved for $x$, where $x=6$. To check your answer, plug $6$ into the original equation. $2(6)-4=8$ $12-4=8$ Therefore $x=6$ is correct.
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