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

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

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

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

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

Solving
-4 + 2w = 4 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-4 + 2w + -4w = 4 + 4w + -4w

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

Combine like terms: 4w + -4w = 0
-4 + -2w = 4 + 0
-4 + -2w = 4

Add '4' to each side of the equation.
-4 + 4 + -2w = 4 + 4

Combine like terms: -4 + 4 = 0
0 + -2w = 4 + 4
-2w = 4 + 4

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

Divide each side by '-2'.
w = -4

Simplifying
w = -4