0.75(1.2W-1.6)=0.8(W+2)

Solution for 0.75(1.2W-1.6)=0.8(W+2) equation:

Simplifying
0.75(1.2W + -1.6) = 0.8(W + 2)

Reorder the terms:
0.75(-1.6 + 1.2W) = 0.8(W + 2)
(-1.6 * 0.75 + 1.2W * 0.75) = 0.8(W + 2)
(-1.2 + 0.9W) = 0.8(W + 2)

Reorder the terms:
-1.2 + 0.9W = 0.8(2 + W)
-1.2 + 0.9W = (2 * 0.8 + W * 0.8)
-1.2 + 0.9W = (1.6 + 0.8W)

Solving
-1.2 + 0.9W = 1.6 + 0.8W

Solving for variable 'W'.

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

Add '-0.8W' to each side of the equation.
-1.2 + 0.9W + -0.8W = 1.6 + 0.8W + -0.8W

Combine like terms: 0.9W + -0.8W = 0.1W
-1.2 + 0.1W = 1.6 + 0.8W + -0.8W

Combine like terms: 0.8W + -0.8W = 0.0
-1.2 + 0.1W = 1.6 + 0.0
-1.2 + 0.1W = 1.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.1W = 1.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.1W = 1.6 + 1.2
0.1W = 1.6 + 1.2

Combine like terms: 1.6 + 1.2 = 2.8
0.1W = 2.8

Divide each side by '0.1'.
W = 28

Simplifying
W = 28