Question 44: Value for x

Algebra Level 1

MA.912.A.5.4 - Solve algebraic proportions.

Algebra 1 EOC Study Guide. How many can you solve correctly?


The answer is 10.

Lew Sterling Jr by Lew Sterling Jr , 24, USA

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2 solutions

Ashish Menon
May 29, 2016

x + 8 5 x − 2 = 3 8 8 ( x + 8 ) = 3 ( 5 x − 2 ) 8 x + 64 = 15 x − 6 7 x = 70 x = 10 \begin{aligned} \dfrac{x + 8}{5x - 2} & = \dfrac{3}{8}\\ \\ 8\left(x + 8\right) & = 3\left(5x - 2\right)\\ 8x + 64 & = 15x - 6\\ 7x & = 70\\ x & = \color{#69047E}{\boxed{10}} \end{aligned}

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Lew Sterling Jr
Jan 19, 2015

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