2(2w-1)+3(3w-4)=90

Solution for 2(2w-1)+3(3w-4)=90 equation:

Simplifying
2(2w + -1) + 3(3w + -4) = 90

Reorder the terms:
2(-1 + 2w) + 3(3w + -4) = 90
(-1 * 2 + 2w * 2) + 3(3w + -4) = 90
(-2 + 4w) + 3(3w + -4) = 90

Reorder the terms:
-2 + 4w + 3(-4 + 3w) = 90
-2 + 4w + (-4 * 3 + 3w * 3) = 90
-2 + 4w + (-12 + 9w) = 90

Reorder the terms:
-2 + -12 + 4w + 9w = 90

Combine like terms: -2 + -12 = -14
-14 + 4w + 9w = 90

Combine like terms: 4w + 9w = 13w
-14 + 13w = 90

Solving
-14 + 13w = 90

Solving for variable 'w'.

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

Add '14' to each side of the equation.
-14 + 14 + 13w = 90 + 14

Combine like terms: -14 + 14 = 0
0 + 13w = 90 + 14
13w = 90 + 14

Combine like terms: 90 + 14 = 104
13w = 104

Divide each side by '13'.
w = 8

Simplifying
w = 8