Solve for x. Show each step of the solution. 5.5 (8-x) + 44=104-3.5 (3x+24)

5.5 (8 - x) + 44 = 104 - 3.5 (3x + 24)

Distribute 5.5 through the parenthesis.

44 - 5.5x + 44 = 104 - 10.5x - 84

Add the numbers.

88 - 5.5x = 20 - 10.5x

Move variable to the left side and change its sign.

88 - 5.5x + 10.5x = 20

-5.5x + 10.5x = 20 - 88

Collect like terms.

5x = 20 - 88

Calculate the sum or difference.

5x = - 68

Divide both sides by 5.

x = - 68 / 5