4(x-1)=1.2(x-8)

Solution for 4(x-1)=1.2(x-8) equation:

Simplifying
4(x + -1) = 1.2(x + -8)

Reorder the terms:
4(-1 + x) = 1.2(x + -8)
(-1 * 4 + x * 4) = 1.2(x + -8)
(-4 + 4x) = 1.2(x + -8)

Reorder the terms:
-4 + 4x = 1.2(-8 + x)
-4 + 4x = (-8 * 1.2 + x * 1.2)
-4 + 4x = (-9.6 + 1.2x)

Solving
-4 + 4x = -9.6 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-4 + 4x + -1.2x = -9.6 + 1.2x + -1.2x

Combine like terms: 4x + -1.2x = 2.8x
-4 + 2.8x = -9.6 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-4 + 2.8x = -9.6 + 0.0
-4 + 2.8x = -9.6

Add '4' to each side of the equation.
-4 + 4 + 2.8x = -9.6 + 4

Combine like terms: -4 + 4 = 0
0 + 2.8x = -9.6 + 4
2.8x = -9.6 + 4

Combine like terms: -9.6 + 4 = -5.6
2.8x = -5.6

Divide each side by '2.8'.
x = -2

Simplifying
x = -2