(4w-3)2+2w=114

Solution for (4w-3)2+2w=114 equation:

Simplifying
(4w + -3) * 2 + 2w = 114

Reorder the terms:
(-3 + 4w) * 2 + 2w = 114

Reorder the terms for easier multiplication:
2(-3 + 4w) + 2w = 114
(-3 * 2 + 4w * 2) + 2w = 114
(-6 + 8w) + 2w = 114

Combine like terms: 8w + 2w = 10w
-6 + 10w = 114

Solving
-6 + 10w = 114

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + 10w = 114 + 6

Combine like terms: -6 + 6 = 0
0 + 10w = 114 + 6
10w = 114 + 6

Combine like terms: 114 + 6 = 120
10w = 120

Divide each side by '10'.
w = 12

Simplifying
w = 12