3(w-2)-4w=2(w-9)

Solution for 3(w-2)-4w=2(w-9) equation:

Simplifying
3(w + -2) + -4w = 2(w + -9)

Reorder the terms:
3(-2 + w) + -4w = 2(w + -9)
(-2 * 3 + w * 3) + -4w = 2(w + -9)
(-6 + 3w) + -4w = 2(w + -9)

Combine like terms: 3w + -4w = -1w
-6 + -1w = 2(w + -9)

Reorder the terms:
-6 + -1w = 2(-9 + w)
-6 + -1w = (-9 * 2 + w * 2)
-6 + -1w = (-18 + 2w)

Solving
-6 + -1w = -18 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-6 + -1w + -2w = -18 + 2w + -2w

Combine like terms: -1w + -2w = -3w
-6 + -3w = -18 + 2w + -2w

Combine like terms: 2w + -2w = 0
-6 + -3w = -18 + 0
-6 + -3w = -18

Add '6' to each side of the equation.
-6 + 6 + -3w = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -3w = -18 + 6
-3w = -18 + 6

Combine like terms: -18 + 6 = -12
-3w = -12

Divide each side by '-3'.
w = 4

Simplifying
w = 4