2(w+4w-3)=114

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

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

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

Combine like terms: w + 4w = 5w
2(-3 + 5w) = 114
(-3 * 2 + 5w * 2) = 114
(-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