# How do you solve (w+8)/3-(w-8)/49=1?

Apr 12, 2018

$w = - \frac{269}{46}$

#### Explanation:

(w+8)/3-(w-8)/49=1?

FIRST WE HAVE TO TAKE LCM OF 3 AND 49

$49 \frac{w + 8}{3 \cdot 49} - 3 \frac{w - 8}{49 \cdot 3} = 1$

Use the distributive property.

$\frac{49 w + 392}{147} - \frac{3 w - 24}{147} = 1$

Combine the fractions with like denominators.

$\frac{49 w + 392 - 3 w + 24}{147} = 1$

Multiply both sides of the equation by 147 and combine like terms.

$46 w + 416 = 1 \cdot 147$

Simplify.

$46 w + 416 = 147$

Subtract 416 from both sides of the equation and divide both sides of the equation by 46.

$w = \frac{147 - 416}{46}$

Simplify.

$w = - \frac{269}{46}$