0.8x-1.6(x-8)=0.6(x-2)

Solution for 0.8x-1.6(x-8)=0.6(x-2) equation:

Simplifying
0.8x + -1.6(x + -8) = 0.6(x + -2)

Reorder the terms:
0.8x + -1.6(-8 + x) = 0.6(x + -2)
0.8x + (-8 * -1.6 + x * -1.6) = 0.6(x + -2)
0.8x + (12.8 + -1.6x) = 0.6(x + -2)

Reorder the terms:
12.8 + 0.8x + -1.6x = 0.6(x + -2)

Combine like terms: 0.8x + -1.6x = -0.8x
12.8 + -0.8x = 0.6(x + -2)

Reorder the terms:
12.8 + -0.8x = 0.6(-2 + x)
12.8 + -0.8x = (-2 * 0.6 + x * 0.6)
12.8 + -0.8x = (-1.2 + 0.6x)

Solving
12.8 + -0.8x = -1.2 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
12.8 + -0.8x + -0.6x = -1.2 + 0.6x + -0.6x

Combine like terms: -0.8x + -0.6x = -1.4x
12.8 + -1.4x = -1.2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
12.8 + -1.4x = -1.2 + 0.0
12.8 + -1.4x = -1.2

Add '-12.8' to each side of the equation.
12.8 + -12.8 + -1.4x = -1.2 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + -1.4x = -1.2 + -12.8
-1.4x = -1.2 + -12.8

Combine like terms: -1.2 + -12.8 = -14
-1.4x = -14

Divide each side by '-1.4'.
x = 10

Simplifying
x = 10