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Solve for x: 3 over 4 x + 5 over 8 = 4x

x = __________________ Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar.

Guest Aug 15, 2014

Best Answer 

 #1
avatar+26322 
+5

$$$$\frac{3}{4}x+\frac{5}{8}=4x$$\\
Subtract $\frac{3}{4}x$ from both sides to get
$$ \frac{5}{8}=3\frac{1}{4}x$$\\
We can write $3\frac{1}{4}$ as the improper fraction: $\frac{13}{4}$ so
$$\frac{5}{8}=\frac{13}{4}x$$\\
Multiply both sides by $\frac{4}{13}$ to get $$\frac{5}{8}\times\frac{4}{13}= x$$ or $$x=\frac{5}{26}$$$$

Alan  Aug 15, 2014
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1+0 Answers

 #1
avatar+26322 
+5
Best Answer

$$$$\frac{3}{4}x+\frac{5}{8}=4x$$\\
Subtract $\frac{3}{4}x$ from both sides to get
$$ \frac{5}{8}=3\frac{1}{4}x$$\\
We can write $3\frac{1}{4}$ as the improper fraction: $\frac{13}{4}$ so
$$\frac{5}{8}=\frac{13}{4}x$$\\
Multiply both sides by $\frac{4}{13}$ to get $$\frac{5}{8}\times\frac{4}{13}= x$$ or $$x=\frac{5}{26}$$$$

Alan  Aug 15, 2014

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