0.8x-0.6(6-2x)=-0.1(x-6)

Solution for 0.8x-0.6(6-2x)=-0.1(x-6) equation:

Simplifying
0.8x + -0.6(6 + -2x) = -0.1(x + -6)
0.8x + (6 * -0.6 + -2x * -0.6) = -0.1(x + -6)
0.8x + (-3.6 + 1.2x) = -0.1(x + -6)

Reorder the terms:
-3.6 + 0.8x + 1.2x = -0.1(x + -6)

Combine like terms: 0.8x + 1.2x = 2x
-3.6 + 2x = -0.1(x + -6)

Reorder the terms:
-3.6 + 2x = -0.1(-6 + x)
-3.6 + 2x = (-6 * -0.1 + x * -0.1)
-3.6 + 2x = (0.6 + -0.1x)

Solving
-3.6 + 2x = 0.6 + -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
-3.6 + 2x + 0.1x = 0.6 + -0.1x + 0.1x

Combine like terms: 2x + 0.1x = 2.1x
-3.6 + 2.1x = 0.6 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-3.6 + 2.1x = 0.6 + 0.0
-3.6 + 2.1x = 0.6

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 2.1x = 0.6 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 2.1x = 0.6 + 3.6
2.1x = 0.6 + 3.6

Combine like terms: 0.6 + 3.6 = 4.2
2.1x = 4.2

Divide each side by '2.1'.
x = 2

Simplifying
x = 2