0.1x-0.2(6-5x)=-0.8(x-8)

Solution for 0.1x-0.2(6-5x)=-0.8(x-8) equation:

Simplifying
0.1x + -0.2(6 + -5x) = -0.8(x + -8)
0.1x + (6 * -0.2 + -5x * -0.2) = -0.8(x + -8)
0.1x + (-1.2 + 1x) = -0.8(x + -8)

Reorder the terms:
-1.2 + 0.1x + 1x = -0.8(x + -8)

Combine like terms: 0.1x + 1x = 1.1x
-1.2 + 1.1x = -0.8(x + -8)

Reorder the terms:
-1.2 + 1.1x = -0.8(-8 + x)
-1.2 + 1.1x = (-8 * -0.8 + x * -0.8)
-1.2 + 1.1x = (6.4 + -0.8x)

Solving
-1.2 + 1.1x = 6.4 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-1.2 + 1.1x + 0.8x = 6.4 + -0.8x + 0.8x

Combine like terms: 1.1x + 0.8x = 1.9x
-1.2 + 1.9x = 6.4 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-1.2 + 1.9x = 6.4 + 0.0
-1.2 + 1.9x = 6.4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 1.9x = 6.4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.9x = 6.4 + 1.2
1.9x = 6.4 + 1.2

Combine like terms: 6.4 + 1.2 = 7.6
1.9x = 7.6

Divide each side by '1.9'.
x = 4

Simplifying
x = 4