34.8x+0.2(x-4)=-16.8-27x

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Solution for 34.8x+0.2(x-4)=-16.8-27x equation: 


Simplifying
34.8x + 0.2(x + -4) = -16.8 + -27x

Reorder the terms:
34.8x + 0.2(-4 + x) = -16.8 + -27x
34.8x + (-4 * 0.2 + x * 0.2) = -16.8 + -27x
34.8x + (-0.8 + 0.2x) = -16.8 + -27x

Reorder the terms:
-0.8 + 34.8x + 0.2x = -16.8 + -27x

Combine like terms: 34.8x + 0.2x = 35x
-0.8 + 35x = -16.8 + -27x

Solving
-0.8 + 35x = -16.8 + -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.
-0.8 + 35x + 27x = -16.8 + -27x + 27x

Combine like terms: 35x + 27x = 62x
-0.8 + 62x = -16.8 + -27x + 27x

Combine like terms: -27x + 27x = 0
-0.8 + 62x = -16.8 + 0
-0.8 + 62x = -16.8

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 62x = -16.8 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 62x = -16.8 + 0.8
62x = -16.8 + 0.8

Combine like terms: -16.8 + 0.8 = -16
62x = -16

Divide each side by '62'.
x = -0.2580645161

Simplifying
x = -0.2580645161

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