0.1x-0.4(15-4x)=-0.2(x-8)

Solution for 0.1x-0.4(15-4x)=-0.2(x-8) equation:

Simplifying
0.1x + -0.4(15 + -4x) = -0.2(x + -8)
0.1x + (15 * -0.4 + -4x * -0.4) = -0.2(x + -8)
0.1x + (-6 + 1.6x) = -0.2(x + -8)

Reorder the terms:
-6 + 0.1x + 1.6x = -0.2(x + -8)

Combine like terms: 0.1x + 1.6x = 1.7x
-6 + 1.7x = -0.2(x + -8)

Reorder the terms:
-6 + 1.7x = -0.2(-8 + x)
-6 + 1.7x = (-8 * -0.2 + x * -0.2)
-6 + 1.7x = (1.6 + -0.2x)

Solving
-6 + 1.7x = 1.6 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-6 + 1.7x + 0.2x = 1.6 + -0.2x + 0.2x

Combine like terms: 1.7x + 0.2x = 1.9x
-6 + 1.9x = 1.6 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-6 + 1.9x = 1.6 + 0.0
-6 + 1.9x = 1.6

Add '6' to each side of the equation.
-6 + 6 + 1.9x = 1.6 + 6

Combine like terms: -6 + 6 = 0
0 + 1.9x = 1.6 + 6
1.9x = 1.6 + 6

Combine like terms: 1.6 + 6 = 7.6
1.9x = 7.6

Divide each side by '1.9'.
x = 4

Simplifying
x = 4