114=2(w+4w-3)

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

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

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

Combine like terms: w + 4w = 5w
114 = 2(-3 + 5w)
114 = (-3 * 2 + 5w * 2)
114 = (-6 + 10w)

Solving
114 = -6 + 10w

Solving for variable 'w'.

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

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

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

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

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

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

Divide each side by '-10'.
w = 12

Simplifying
w = 12