0.6x-1.3=.2(5x-8)

Solution for 0.6x-1.3=.2(5x-8) equation:

Simplifying
0.6x + -1.3 = 0.2(5x + -8)

Reorder the terms:
-1.3 + 0.6x = 0.2(5x + -8)

Reorder the terms:
-1.3 + 0.6x = 0.2(-8 + 5x)
-1.3 + 0.6x = (-8 * 0.2 + 5x * 0.2)
-1.3 + 0.6x = (-1.6 + 1x)

Solving
-1.3 + 0.6x = -1.6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.3 + 0.6x + -1x = -1.6 + 1x + -1x

Combine like terms: 0.6x + -1x = -0.4x
-1.3 + -0.4x = -1.6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1.3 + -0.4x = -1.6 + 0
-1.3 + -0.4x = -1.6

Add '1.3' to each side of the equation.
-1.3 + 1.3 + -0.4x = -1.6 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + -0.4x = -1.6 + 1.3
-0.4x = -1.6 + 1.3

Combine like terms: -1.6 + 1.3 = -0.3
-0.4x = -0.3

Divide each side by '-0.4'.
x = 0.75

Simplifying
x = 0.75