-3(5w-2)+7w=2+2(3w-3)

Solution for -3(5w-2)+7w=2+2(3w-3) equation:

Simplifying
-3(5w + -2) + 7w = 2 + 2(3w + -3)

Reorder the terms:
-3(-2 + 5w) + 7w = 2 + 2(3w + -3)
(-2 * -3 + 5w * -3) + 7w = 2 + 2(3w + -3)
(6 + -15w) + 7w = 2 + 2(3w + -3)

Combine like terms: -15w + 7w = -8w
6 + -8w = 2 + 2(3w + -3)

Reorder the terms:
6 + -8w = 2 + 2(-3 + 3w)
6 + -8w = 2 + (-3 * 2 + 3w * 2)
6 + -8w = 2 + (-6 + 6w)

Combine like terms: 2 + -6 = -4
6 + -8w = -4 + 6w

Solving
6 + -8w = -4 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
6 + -8w + -6w = -4 + 6w + -6w

Combine like terms: -8w + -6w = -14w
6 + -14w = -4 + 6w + -6w

Combine like terms: 6w + -6w = 0
6 + -14w = -4 + 0
6 + -14w = -4

Add '-6' to each side of the equation.
6 + -6 + -14w = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -14w = -4 + -6
-14w = -4 + -6

Combine like terms: -4 + -6 = -10
-14w = -10

Divide each side by '-14'.
w = 0.7142857143

Simplifying
w = 0.7142857143