0.9x-0.2(3-5x)=-0.8(x-6)

Solution for 0.9x-0.2(3-5x)=-0.8(x-6) equation:

Simplifying
0.9x + -0.2(3 + -5x) = -0.8(x + -6)
0.9x + (3 * -0.2 + -5x * -0.2) = -0.8(x + -6)
0.9x + (-0.6 + 1x) = -0.8(x + -6)

Reorder the terms:
-0.6 + 0.9x + 1x = -0.8(x + -6)

Combine like terms: 0.9x + 1x = 1.9x
-0.6 + 1.9x = -0.8(x + -6)

Reorder the terms:
-0.6 + 1.9x = -0.8(-6 + x)
-0.6 + 1.9x = (-6 * -0.8 + x * -0.8)
-0.6 + 1.9x = (4.8 + -0.8x)

Solving
-0.6 + 1.9x = 4.8 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-0.6 + 1.9x + 0.8x = 4.8 + -0.8x + 0.8x

Combine like terms: 1.9x + 0.8x = 2.7x
-0.6 + 2.7x = 4.8 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-0.6 + 2.7x = 4.8 + 0.0
-0.6 + 2.7x = 4.8

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 2.7x = 4.8 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 2.7x = 4.8 + 0.6
2.7x = 4.8 + 0.6

Combine like terms: 4.8 + 0.6 = 5.4
2.7x = 5.4

Divide each side by '2.7'.
x = 2

Simplifying
x = 2