Question

What is the value of x in the equation 4/7(21/8x+1/2)=-2(1/7-5/28x)? Write your solution in decimal form.

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

$\frac{4}{7} (\frac{21}{8x} +\frac{1}{2})=-2(\frac{1}{7}-\frac{5}{28x})$

2. When you apply the distributive property, you obtain:

$\frac{84}{56x}+\frac{4}{14} =-\frac{2}{7}+\frac{10}{28x}$

3. When you order the terms and you sum the fractions, you have:

$\frac{84}{56x} -\frac{10}{28x} =-\frac{2}{7} -\frac{4}{14} \\ \frac{(84-20)}{56x} =-\frac{4}{7} \\ \frac{64}{56x} =-\frac{4}{7}$

4. Now, solve for $x$:

$x=\frac{448}{-224}\\x=-2.0$

The answer is: $x=-2.0$

Answer 2

Answer:

- 0.5

Step-by-step explanation:

Given equation is,

$\frac{4}{7}(\frac{21}{8}x+\frac{1}{2})=-2(\frac{1}{7}-\frac{5}{28}x)$

By distributive property,

$\frac{84}{56}x+\frac{4}{14}=-\frac{2}{7}+\frac{10}{28}x$

Subtraction property of equality,

$\frac{84}{56}x-\frac{10}{28}x=-\frac{2}{7}-\frac{4}{14}$

Subtracting fractions,

$\frac{84x-20x}{56}=\frac{-4-4}{14}$

$\frac{64x}{56}=-\frac{8}{14}$

By cross multiplication,

$896x=-448$

By division property of equality,

$\implies x=-\frac{448}{896}=-0.5$