3.2(x-5)+4.2(3x+1)=-108.18

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Solution for 3.2(x-5)+4.2(3x+1)=-108.18 equation: 


Simplifying
3.2(x + -5) + 4.2(3x + 1) = -108.18

Reorder the terms:
3.2(-5 + x) + 4.2(3x + 1) = -108.18
(-5 * 3.2 + x * 3.2) + 4.2(3x + 1) = -108.18
(-16 + 3.2x) + 4.2(3x + 1) = -108.18

Reorder the terms:
-16 + 3.2x + 4.2(1 + 3x) = -108.18
-16 + 3.2x + (1 * 4.2 + 3x * 4.2) = -108.18
-16 + 3.2x + (4.2 + 12.6x) = -108.18

Reorder the terms:
-16 + 4.2 + 3.2x + 12.6x = -108.18

Combine like terms: -16 + 4.2 = -11.8
-11.8 + 3.2x + 12.6x = -108.18

Combine like terms: 3.2x + 12.6x = 15.8x
-11.8 + 15.8x = -108.18

Solving
-11.8 + 15.8x = -108.18

Solving for variable 'x'.

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

Add '11.8' to each side of the equation.
-11.8 + 11.8 + 15.8x = -108.18 + 11.8

Combine like terms: -11.8 + 11.8 = 0.0
0.0 + 15.8x = -108.18 + 11.8
15.8x = -108.18 + 11.8

Combine like terms: -108.18 + 11.8 = -96.38
15.8x = -96.38

Divide each side by '15.8'.
x = -6.1

Simplifying
x = -6.1

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