.6(6x-18)+.75(8x+32)=-18

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Solution for .6(6x-18)+.75(8x+32)=-18 equation: 


Simplifying
0.6(6x + -18) + 0.75(8x + 32) = -18

Reorder the terms:
0.6(-18 + 6x) + 0.75(8x + 32) = -18
(-18 * 0.6 + 6x * 0.6) + 0.75(8x + 32) = -18
(-10.8 + 3.6x) + 0.75(8x + 32) = -18

Reorder the terms:
-10.8 + 3.6x + 0.75(32 + 8x) = -18
-10.8 + 3.6x + (32 * 0.75 + 8x * 0.75) = -18
-10.8 + 3.6x + (24 + 6x) = -18

Reorder the terms:
-10.8 + 24 + 3.6x + 6x = -18

Combine like terms: -10.8 + 24 = 13.2
13.2 + 3.6x + 6x = -18

Combine like terms: 3.6x + 6x = 9.6x
13.2 + 9.6x = -18

Solving
13.2 + 9.6x = -18

Solving for variable 'x'.

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

Add '-13.2' to each side of the equation.
13.2 + -13.2 + 9.6x = -18 + -13.2

Combine like terms: 13.2 + -13.2 = 0.0
0.0 + 9.6x = -18 + -13.2
9.6x = -18 + -13.2

Combine like terms: -18 + -13.2 = -31.2
9.6x = -31.2

Divide each side by '9.6'.
x = -3.25

Simplifying
x = -3.25

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