4(w-1)=3(w+2)

Solution for 4(w-1)=3(w+2) equation:

Simplifying
4(w + -1) = 3(w + 2)

Reorder the terms:
4(-1 + w) = 3(w + 2)
(-1 * 4 + w * 4) = 3(w + 2)
(-4 + 4w) = 3(w + 2)

Reorder the terms:
-4 + 4w = 3(2 + w)
-4 + 4w = (2 * 3 + w * 3)
-4 + 4w = (6 + 3w)

Solving
-4 + 4w = 6 + 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.
-4 + 4w + -3w = 6 + 3w + -3w

Combine like terms: 4w + -3w = 1w
-4 + 1w = 6 + 3w + -3w

Combine like terms: 3w + -3w = 0
-4 + 1w = 6 + 0
-4 + 1w = 6

Add '4' to each side of the equation.
-4 + 4 + 1w = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 1w = 6 + 4
1w = 6 + 4

Combine like terms: 6 + 4 = 10
1w = 10

Divide each side by '1'.
w = 10

Simplifying
w = 10