# How do you solve 8( 5w - 20) = 20+ 20w?

Mar 28, 2018

$w = 9$

#### Explanation:

$40 w - 160 = 20 + 20 w$ distribute
$20 w = 180$ add 20w and add 160 to both sides to have the term with $w$ on one side
$w = 9$ divide both sides by coefficient, 20, to isolate $w$

Mar 28, 2018

$w = 9$

#### Explanation:

$8 \left(5 w - 20\right) = 20 + 20 w$ (Distribute the 8 to the numbers in the bracket)

$40 w - 160 = 20 + 20 w$ (subtract 20w from both sides)

$20 w - 160 = 20$ (add 160 to both sides)

$20 w = 180$ (Divide both sides by 20 to isolate the variable)

$w = 9$

Check the answer by plugging in the answer for w to see if it works

$8 \left(5 \left(9\right) - 20\right) = 20 + 20 \left(9\right)$

$8 \left(45 - 20\right) = 20 + 180$

$8 \left(25\right) = 200$

$200 = 200$