0.4x-0.2(2-2x)=-0.7(x-8)

Solution for 0.4x-0.2(2-2x)=-0.7(x-8) equation:

Simplifying
0.4x + -0.2(2 + -2x) = -0.7(x + -8)
0.4x + (2 * -0.2 + -2x * -0.2) = -0.7(x + -8)
0.4x + (-0.4 + 0.4x) = -0.7(x + -8)

Reorder the terms:
-0.4 + 0.4x + 0.4x = -0.7(x + -8)

Combine like terms: 0.4x + 0.4x = 0.8x
-0.4 + 0.8x = -0.7(x + -8)

Reorder the terms:
-0.4 + 0.8x = -0.7(-8 + x)
-0.4 + 0.8x = (-8 * -0.7 + x * -0.7)
-0.4 + 0.8x = (5.6 + -0.7x)

Solving
-0.4 + 0.8x = 5.6 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-0.4 + 0.8x + 0.7x = 5.6 + -0.7x + 0.7x

Combine like terms: 0.8x + 0.7x = 1.5x
-0.4 + 1.5x = 5.6 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-0.4 + 1.5x = 5.6 + 0.0
-0.4 + 1.5x = 5.6

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 1.5x = 5.6 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 1.5x = 5.6 + 0.4
1.5x = 5.6 + 0.4

Combine like terms: 5.6 + 0.4 = 6
1.5x = 6

Divide each side by '1.5'.
x = 4

Simplifying
x = 4