=.5(12w+8)-.2(10w-5)

Solution for =.5(12w+8)-.2(10w-5) equation:

Simplifying
0 = 0.5(12w + 8) + -0.2(10w + -5)

Reorder the terms:
0 = 0.5(8 + 12w) + -0.2(10w + -5)
0 = (8 * 0.5 + 12w * 0.5) + -0.2(10w + -5)
0 = (4 + 6w) + -0.2(10w + -5)

Reorder the terms:
0 = 4 + 6w + -0.2(-5 + 10w)
0 = 4 + 6w + (-5 * -0.2 + 10w * -0.2)
0 = 4 + 6w + (1 + -2w)

Reorder the terms:
0 = 4 + 1 + 6w + -2w

Combine like terms: 4 + 1 = 5
0 = 5 + 6w + -2w

Combine like terms: 6w + -2w = 4w
0 = 5 + 4w

Solving
0 = 5 + 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.
0 + -4w = 5 + 4w + -4w
Remove the zero:
-4w = 5 + 4w + -4w

Combine like terms: 4w + -4w = 0
-4w = 5 + 0
-4w = 5

Divide each side by '-4'.
w = -1.25

Simplifying
w = -1.25