Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-7 Solving Proportions - Practice and Problem-Solving Exercises - Page 128: 50



Work Step by Step

Use cross multiplication since the variable is in the numerator and the denominator. $\frac{x+2}{2x-6}=\frac{3}{8}$ cross multiply $8(x+2)=3(2x-6)$ distributive property $8x+16=6x-18$ subtract 6x from both sides; subtract 16 from both sides $8x+16-6x-16=6x-18-6x-16$ combine like terms $2x=-34$ divide both sides by 2 $2x\div2=-34\div2$ simplify $x=-17$
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