13.6=4+1.20(x-4)

Solution for 13.6=4+1.20(x-4) equation:

Simplifying
13.6 = 4 + 1.20(x + -4)

Reorder the terms:
13.6 = 4 + 1.20(-4 + x)
13.6 = 4 + (-4 * 1.20 + x * 1.20)
13.6 = 4 + (-4.8 + 1.20x)

Combine like terms: 4 + -4.8 = -0.8
13.6 = -0.8 + 1.20x

Solving
13.6 = -0.8 + 1.20x

Solving for variable 'x'.

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

Add '-1.20x' to each side of the equation.
13.6 + -1.20x = -0.8 + 1.20x + -1.20x

Combine like terms: 1.20x + -1.20x = 0.00
13.6 + -1.20x = -0.8 + 0.00
13.6 + -1.20x = -0.8

Add '-13.6' to each side of the equation.
13.6 + -13.6 + -1.20x = -0.8 + -13.6

Combine like terms: 13.6 + -13.6 = 0.0
0.0 + -1.20x = -0.8 + -13.6
-1.20x = -0.8 + -13.6

Combine like terms: -0.8 + -13.6 = -14.4
-1.20x = -14.4

Divide each side by '-1.20'.
x = 12

Simplifying
x = 12