0.3x-0.2(13-4x)=-0.9(x-6)

Solution for 0.3x-0.2(13-4x)=-0.9(x-6) equation:

Simplifying
0.3x + -0.2(13 + -4x) = -0.9(x + -6)
0.3x + (13 * -0.2 + -4x * -0.2) = -0.9(x + -6)
0.3x + (-2.6 + 0.8x) = -0.9(x + -6)

Reorder the terms:
-2.6 + 0.3x + 0.8x = -0.9(x + -6)

Combine like terms: 0.3x + 0.8x = 1.1x
-2.6 + 1.1x = -0.9(x + -6)

Reorder the terms:
-2.6 + 1.1x = -0.9(-6 + x)
-2.6 + 1.1x = (-6 * -0.9 + x * -0.9)
-2.6 + 1.1x = (5.4 + -0.9x)

Solving
-2.6 + 1.1x = 5.4 + -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.
-2.6 + 1.1x + 0.9x = 5.4 + -0.9x + 0.9x

Combine like terms: 1.1x + 0.9x = 2x
-2.6 + 2x = 5.4 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-2.6 + 2x = 5.4 + 0.0
-2.6 + 2x = 5.4

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 2x = 5.4 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 2x = 5.4 + 2.6
2x = 5.4 + 2.6

Combine like terms: 5.4 + 2.6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4