.8x-.2(13-3x)=-.1(x-4)

Solution for .8x-.2(13-3x)=-.1(x-4) equation:

Simplifying
0.8x + -0.2(13 + -3x) = -0.1(x + -4)
0.8x + (13 * -0.2 + -3x * -0.2) = -0.1(x + -4)
0.8x + (-2.6 + 0.6x) = -0.1(x + -4)

Reorder the terms:
-2.6 + 0.8x + 0.6x = -0.1(x + -4)

Combine like terms: 0.8x + 0.6x = 1.4x
-2.6 + 1.4x = -0.1(x + -4)

Reorder the terms:
-2.6 + 1.4x = -0.1(-4 + x)
-2.6 + 1.4x = (-4 * -0.1 + x * -0.1)
-2.6 + 1.4x = (0.4 + -0.1x)

Solving
-2.6 + 1.4x = 0.4 + -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.
-2.6 + 1.4x + 0.1x = 0.4 + -0.1x + 0.1x

Combine like terms: 1.4x + 0.1x = 1.5x
-2.6 + 1.5x = 0.4 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-2.6 + 1.5x = 0.4 + 0.0
-2.6 + 1.5x = 0.4

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 1.5x = 0.4 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 1.5x = 0.4 + 2.6
1.5x = 0.4 + 2.6

Combine like terms: 0.4 + 2.6 = 3
1.5x = 3

Divide each side by '1.5'.
x = 2

Simplifying
x = 2