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

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

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

Reorder the terms:
4(-5 + w) + -2(w + 1) = 3(1 + -1w)
(-5 * 4 + w * 4) + -2(w + 1) = 3(1 + -1w)
(-20 + 4w) + -2(w + 1) = 3(1 + -1w)

Reorder the terms:
-20 + 4w + -2(1 + w) = 3(1 + -1w)
-20 + 4w + (1 * -2 + w * -2) = 3(1 + -1w)
-20 + 4w + (-2 + -2w) = 3(1 + -1w)

Reorder the terms:
-20 + -2 + 4w + -2w = 3(1 + -1w)

Combine like terms: -20 + -2 = -22
-22 + 4w + -2w = 3(1 + -1w)

Combine like terms: 4w + -2w = 2w
-22 + 2w = 3(1 + -1w)
-22 + 2w = (1 * 3 + -1w * 3)
-22 + 2w = (3 + -3w)

Solving
-22 + 2w = 3 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
-22 + 2w + 3w = 3 + -3w + 3w

Combine like terms: 2w + 3w = 5w
-22 + 5w = 3 + -3w + 3w

Combine like terms: -3w + 3w = 0
-22 + 5w = 3 + 0
-22 + 5w = 3

Add '22' to each side of the equation.
-22 + 22 + 5w = 3 + 22

Combine like terms: -22 + 22 = 0
0 + 5w = 3 + 22
5w = 3 + 22

Combine like terms: 3 + 22 = 25
5w = 25

Divide each side by '5'.
w = 5

Simplifying
w = 5