Algebra 1

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

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Lesson Check - Page 97: 7

Answer

$3\frac{2}{3}$

Work Step by Step

$7(3x - 4) = 49$ Using BODMAS, we start by opening up the brackets as below: $21x - 28 = 49$ Next, we isolate the variable $x$ by adding $28$ to both sides as below: $21x - 28 + 28 = 49+ 28$ Simplifying we have: $21x = 77$ Divide through by the coefficient of $x$ as shown below: $\frac{21}{21}x = \frac{77}{21}$ Simplify to get: $x = \frac{11}{3}$ Leaving the answer to the simplest form we have: $x = 3\frac{2}{3}$
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