12x+9-4x-4=3x-78-x+30

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Solution for 12x+9-4x-4=3x-78-x+30 equation: 


Simplifying
12x + 9 + -4x + -4 = 3x + -78 + -1x + 30

Reorder the terms:
9 + -4 + 12x + -4x = 3x + -78 + -1x + 30

Combine like terms: 9 + -4 = 5
5 + 12x + -4x = 3x + -78 + -1x + 30

Combine like terms: 12x + -4x = 8x
5 + 8x = 3x + -78 + -1x + 30

Reorder the terms:
5 + 8x = -78 + 30 + 3x + -1x

Combine like terms: -78 + 30 = -48
5 + 8x = -48 + 3x + -1x

Combine like terms: 3x + -1x = 2x
5 + 8x = -48 + 2x

Solving
5 + 8x = -48 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 8x + -2x = -48 + 2x + -2x

Combine like terms: 8x + -2x = 6x
5 + 6x = -48 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 6x = -48 + 0
5 + 6x = -48

Add '-5' to each side of the equation.
5 + -5 + 6x = -48 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = -48 + -5
6x = -48 + -5

Combine like terms: -48 + -5 = -53
6x = -53

Divide each side by '6'.
x = -8.833333333

Simplifying
x = -8.833333333

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