0.8x-0.1(2-2x)=-0.9(x-4)

Solution for 0.8x-0.1(2-2x)=-0.9(x-4) equation:

Simplifying
0.8x + -0.1(2 + -2x) = -0.9(x + -4)
0.8x + (2 * -0.1 + -2x * -0.1) = -0.9(x + -4)
0.8x + (-0.2 + 0.2x) = -0.9(x + -4)

Reorder the terms:
-0.2 + 0.8x + 0.2x = -0.9(x + -4)

Combine like terms: 0.8x + 0.2x = 1x
-0.2 + 1x = -0.9(x + -4)

Reorder the terms:
-0.2 + 1x = -0.9(-4 + x)
-0.2 + 1x = (-4 * -0.9 + x * -0.9)
-0.2 + 1x = (3.6 + -0.9x)

Solving
-0.2 + 1x = 3.6 + -0.9x

Solving for variable 'x'.

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

Add '0.9x' to each side of the equation.
-0.2 + 1x + 0.9x = 3.6 + -0.9x + 0.9x

Combine like terms: 1x + 0.9x = 1.9x
-0.2 + 1.9x = 3.6 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-0.2 + 1.9x = 3.6 + 0.0
-0.2 + 1.9x = 3.6

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 1.9x = 3.6 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 1.9x = 3.6 + 0.2
1.9x = 3.6 + 0.2

Combine like terms: 3.6 + 0.2 = 3.8
1.9x = 3.8

Divide each side by '1.9'.
x = 2

Simplifying
x = 2