4(w-8)=3(6+w)

Solution for 4(w-8)=3(6+w) equation:

Simplifying
4(w + -8) = 3(6 + w)

Reorder the terms:
4(-8 + w) = 3(6 + w)
(-8 * 4 + w * 4) = 3(6 + w)
(-32 + 4w) = 3(6 + w)
-32 + 4w = (6 * 3 + w * 3)
-32 + 4w = (18 + 3w)

Solving
-32 + 4w = 18 + 3w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-3w' to each side of the equation.
-32 + 4w + -3w = 18 + 3w + -3w

Combine like terms: 4w + -3w = 1w
-32 + 1w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
-32 + 1w = 18 + 0
-32 + 1w = 18

Add '32' to each side of the equation.
-32 + 32 + 1w = 18 + 32

Combine like terms: -32 + 32 = 0
0 + 1w = 18 + 32
1w = 18 + 32

Combine like terms: 18 + 32 = 50
1w = 50

Divide each side by '1'.
w = 50

Simplifying
w = 50