• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon

Suggested languages for you:

Americas

Europe

Q26.

Expert-verified
Found in: Page 696

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Solve the equation by first clearing the fractions.$\frac{7}{10}x-\frac{1}{5}=\frac{3}{8}$

The solution is $x=\frac{23}{28}$.

See the step by step solution

## Step 1. Given Information.

The equation is$\frac{7}{10}x-\frac{1}{5}=\frac{3}{8}$.

## Step 2. Calculation.

First, find out the LCD and then the LCD has to substitute each side.

$\begin{array}{c}\frac{7}{10}x-\frac{1}{5}=\frac{3}{8}\\ 40\left(\frac{7}{10}x-\frac{1}{5}\right)=40\left(\frac{3}{8}\right)\\ 40\left(\frac{7}{10}x\right)-40\left(\frac{1}{5}\right)=40\left(\frac{3}{8}\right)\\ 28x-8=15\end{array}$

On further simplification,

$\begin{array}{c}28x=15+8\\ 28x=23\\ x=\frac{23}{28}\end{array}$

## Step 3. Conclusion.

The solution of the given equation is $x=\frac{23}{28}$.