3w+2=2(7w-1)-(4-w)

Solution for 3w+2=2(7w-1)-(4-w) equation:

Simplifying
3w + 2 = 2(7w + -1) + -1(4 + -1w)

Reorder the terms:
2 + 3w = 2(7w + -1) + -1(4 + -1w)

Reorder the terms:
2 + 3w = 2(-1 + 7w) + -1(4 + -1w)
2 + 3w = (-1 * 2 + 7w * 2) + -1(4 + -1w)
2 + 3w = (-2 + 14w) + -1(4 + -1w)
2 + 3w = -2 + 14w + (4 * -1 + -1w * -1)
2 + 3w = -2 + 14w + (-4 + 1w)

Reorder the terms:
2 + 3w = -2 + -4 + 14w + 1w

Combine like terms: -2 + -4 = -6
2 + 3w = -6 + 14w + 1w

Combine like terms: 14w + 1w = 15w
2 + 3w = -6 + 15w

Solving
2 + 3w = -6 + 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
2 + 3w + -15w = -6 + 15w + -15w

Combine like terms: 3w + -15w = -12w
2 + -12w = -6 + 15w + -15w

Combine like terms: 15w + -15w = 0
2 + -12w = -6 + 0
2 + -12w = -6

Add '-2' to each side of the equation.
2 + -2 + -12w = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -12w = -6 + -2
-12w = -6 + -2

Combine like terms: -6 + -2 = -8
-12w = -8

Divide each side by '-12'.
w = 0.6666666667

Simplifying
w = 0.6666666667