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

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

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

Reorder the terms:
2(-4 + 3w) + 2(w + 1) = 4
(-4 * 2 + 3w * 2) + 2(w + 1) = 4
(-8 + 6w) + 2(w + 1) = 4

Reorder the terms:
-8 + 6w + 2(1 + w) = 4
-8 + 6w + (1 * 2 + w * 2) = 4
-8 + 6w + (2 + 2w) = 4

Reorder the terms:
-8 + 2 + 6w + 2w = 4

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

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

Solving
-6 + 8w = 4

Solving for variable 'w'.

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

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

Combine like terms: -6 + 6 = 0
0 + 8w = 4 + 6
8w = 4 + 6

Combine like terms: 4 + 6 = 10
8w = 10

Divide each side by '8'.
w = 1.25

Simplifying
w = 1.25