4(w-6)=3(1+w)

Solution for 4(w-6)=3(1+w) equation:

Simplifying
4(w + -6) = 3(1 + w)

Reorder the terms:
4(-6 + w) = 3(1 + w)
(-6 * 4 + w * 4) = 3(1 + w)
(-24 + 4w) = 3(1 + w)
-24 + 4w = (1 * 3 + w * 3)
-24 + 4w = (3 + 3w)

Solving
-24 + 4w = 3 + 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.
-24 + 4w + -3w = 3 + 3w + -3w

Combine like terms: 4w + -3w = 1w
-24 + 1w = 3 + 3w + -3w

Combine like terms: 3w + -3w = 0
-24 + 1w = 3 + 0
-24 + 1w = 3

Add '24' to each side of the equation.
-24 + 24 + 1w = 3 + 24

Combine like terms: -24 + 24 = 0
0 + 1w = 3 + 24
1w = 3 + 24

Combine like terms: 3 + 24 = 27
1w = 27

Divide each side by '1'.
w = 27

Simplifying
w = 27