-2(3w-1)+5w=3+4(2w-1)

Solution for -2(3w-1)+5w=3+4(2w-1) equation:

Simplifying
-2(3w + -1) + 5w = 3 + 4(2w + -1)

Reorder the terms:
-2(-1 + 3w) + 5w = 3 + 4(2w + -1)
(-1 * -2 + 3w * -2) + 5w = 3 + 4(2w + -1)
(2 + -6w) + 5w = 3 + 4(2w + -1)

Combine like terms: -6w + 5w = -1w
2 + -1w = 3 + 4(2w + -1)

Reorder the terms:
2 + -1w = 3 + 4(-1 + 2w)
2 + -1w = 3 + (-1 * 4 + 2w * 4)
2 + -1w = 3 + (-4 + 8w)

Combine like terms: 3 + -4 = -1
2 + -1w = -1 + 8w

Solving
2 + -1w = -1 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
2 + -1w + -8w = -1 + 8w + -8w

Combine like terms: -1w + -8w = -9w
2 + -9w = -1 + 8w + -8w

Combine like terms: 8w + -8w = 0
2 + -9w = -1 + 0
2 + -9w = -1

Add '-2' to each side of the equation.
2 + -2 + -9w = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -9w = -1 + -2
-9w = -1 + -2

Combine like terms: -1 + -2 = -3
-9w = -3

Divide each side by '-9'.
w = 0.3333333333

Simplifying
w = 0.3333333333