9(-3x+5)+.6(9x-7.5)=18(1.5x-.2)+3.6

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Solution for 9(-3x+5)+.6(9x-7.5)=18(1.5x-.2)+3.6 equation: 


Simplifying
9(-3x + 5) + 0.6(9x + -7.5) = 18(1.5x + -0.2) + 3.6

Reorder the terms:
9(5 + -3x) + 0.6(9x + -7.5) = 18(1.5x + -0.2) + 3.6
(5 * 9 + -3x * 9) + 0.6(9x + -7.5) = 18(1.5x + -0.2) + 3.6
(45 + -27x) + 0.6(9x + -7.5) = 18(1.5x + -0.2) + 3.6

Reorder the terms:
45 + -27x + 0.6(-7.5 + 9x) = 18(1.5x + -0.2) + 3.6
45 + -27x + (-7.5 * 0.6 + 9x * 0.6) = 18(1.5x + -0.2) + 3.6
45 + -27x + (-4.5 + 5.4x) = 18(1.5x + -0.2) + 3.6

Reorder the terms:
45 + -4.5 + -27x + 5.4x = 18(1.5x + -0.2) + 3.6

Combine like terms: 45 + -4.5 = 40.5
40.5 + -27x + 5.4x = 18(1.5x + -0.2) + 3.6

Combine like terms: -27x + 5.4x = -21.6x
40.5 + -21.6x = 18(1.5x + -0.2) + 3.6

Reorder the terms:
40.5 + -21.6x = 18(-0.2 + 1.5x) + 3.6
40.5 + -21.6x = (-0.2 * 18 + 1.5x * 18) + 3.6
40.5 + -21.6x = (-3.6 + 27x) + 3.6

Reorder the terms:
40.5 + -21.6x = -3.6 + 3.6 + 27x

Combine like terms: -3.6 + 3.6 = 0.0
40.5 + -21.6x = 0.0 + 27x
40.5 + -21.6x = 27x

Solving
40.5 + -21.6x = 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
40.5 + -21.6x + -27x = 27x + -27x

Combine like terms: -21.6x + -27x = -48.6x
40.5 + -48.6x = 27x + -27x

Combine like terms: 27x + -27x = 0
40.5 + -48.6x = 0

Add '-40.5' to each side of the equation.
40.5 + -40.5 + -48.6x = 0 + -40.5

Combine like terms: 40.5 + -40.5 = 0.0
0.0 + -48.6x = 0 + -40.5
-48.6x = 0 + -40.5

Combine like terms: 0 + -40.5 = -40.5
-48.6x = -40.5

Divide each side by '-48.6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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