-1.2(x-8)=1.3(x-1)

Solution for -1.2(x-8)=1.3(x-1) equation:

Simplifying
-1.2(x + -8) = 1.3(x + -1)

Reorder the terms:
-1.2(-8 + x) = 1.3(x + -1)
(-8 * -1.2 + x * -1.2) = 1.3(x + -1)
(9.6 + -1.2x) = 1.3(x + -1)

Reorder the terms:
9.6 + -1.2x = 1.3(-1 + x)
9.6 + -1.2x = (-1 * 1.3 + x * 1.3)
9.6 + -1.2x = (-1.3 + 1.3x)

Solving
9.6 + -1.2x = -1.3 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
9.6 + -1.2x + -1.3x = -1.3 + 1.3x + -1.3x

Combine like terms: -1.2x + -1.3x = -2.5x
9.6 + -2.5x = -1.3 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
9.6 + -2.5x = -1.3 + 0.0
9.6 + -2.5x = -1.3

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -2.5x = -1.3 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -2.5x = -1.3 + -9.6
-2.5x = -1.3 + -9.6

Combine like terms: -1.3 + -9.6 = -10.9
-2.5x = -10.9

Divide each side by '-2.5'.
x = 4.36

Simplifying
x = 4.36