0.9x-0.3(6-4x)=-0.6(x-6)

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Solution for 0.9x-0.3(6-4x)=-0.6(x-6) equation: 


Simplifying
0.9x + -0.3(6 + -4x) = -0.6(x + -6)
0.9x + (6 * -0.3 + -4x * -0.3) = -0.6(x + -6)
0.9x + (-1.8 + 1.2x) = -0.6(x + -6)

Reorder the terms:
-1.8 + 0.9x + 1.2x = -0.6(x + -6)

Combine like terms: 0.9x + 1.2x = 2.1x
-1.8 + 2.1x = -0.6(x + -6)

Reorder the terms:
-1.8 + 2.1x = -0.6(-6 + x)
-1.8 + 2.1x = (-6 * -0.6 + x * -0.6)
-1.8 + 2.1x = (3.6 + -0.6x)

Solving
-1.8 + 2.1x = 3.6 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
-1.8 + 2.1x + 0.6x = 3.6 + -0.6x + 0.6x

Combine like terms: 2.1x + 0.6x = 2.7x
-1.8 + 2.7x = 3.6 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-1.8 + 2.7x = 3.6 + 0.0
-1.8 + 2.7x = 3.6

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.7x = 3.6 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.7x = 3.6 + 1.8
2.7x = 3.6 + 1.8

Combine like terms: 3.6 + 1.8 = 5.4
2.7x = 5.4

Divide each side by '2.7'.
x = 2

Simplifying
x = 2

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