12-3x-15=2x-78

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Solution for 12-3x-15=2x-78 equation:


Simplifying
12 + -3x + -15 = 2x + -78

Reorder the terms:
12 + -15 + -3x = 2x + -78

Combine like terms: 12 + -15 = -3
-3 + -3x = 2x + -78

Reorder the terms:
-3 + -3x = -78 + 2x

Solving
-3 + -3x = -78 + 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.
-3 + -3x + -2x = -78 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-3 + -5x = -78 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -5x = -78 + 0
-3 + -5x = -78

Add '3' to each side of the equation.
-3 + 3 + -5x = -78 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -78 + 3
-5x = -78 + 3

Combine like terms: -78 + 3 = -75
-5x = -75

Divide each side by '-5'.
x = 15

Simplifying
x = 15

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