-3x+78=-15x-282

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Solution for -3x+78=-15x-282 equation: 


Simplifying
-3x + 78 = -15x + -282

Reorder the terms:
78 + -3x = -15x + -282

Reorder the terms:
78 + -3x = -282 + -15x

Solving
78 + -3x = -282 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
78 + -3x + 15x = -282 + -15x + 15x

Combine like terms: -3x + 15x = 12x
78 + 12x = -282 + -15x + 15x

Combine like terms: -15x + 15x = 0
78 + 12x = -282 + 0
78 + 12x = -282

Add '-78' to each side of the equation.
78 + -78 + 12x = -282 + -78

Combine like terms: 78 + -78 = 0
0 + 12x = -282 + -78
12x = -282 + -78

Combine like terms: -282 + -78 = -360
12x = -360

Divide each side by '12'.
x = -30

Simplifying
x = -30

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