12-3(X-5)=2X-78

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Solution for 12-3(X-5)=2X-78 equation: 


Simplifying
12 + -3(X + -5) = 2X + -78

Reorder the terms:
12 + -3(-5 + X) = 2X + -78
12 + (-5 * -3 + X * -3) = 2X + -78
12 + (15 + -3X) = 2X + -78

Combine like terms: 12 + 15 = 27
27 + -3X = 2X + -78

Reorder the terms:
27 + -3X = -78 + 2X

Solving
27 + -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.
27 + -3X + -2X = -78 + 2X + -2X

Combine like terms: -3X + -2X = -5X
27 + -5X = -78 + 2X + -2X

Combine like terms: 2X + -2X = 0
27 + -5X = -78 + 0
27 + -5X = -78

Add '-27' to each side of the equation.
27 + -27 + -5X = -78 + -27

Combine like terms: 27 + -27 = 0
0 + -5X = -78 + -27
-5X = -78 + -27

Combine like terms: -78 + -27 = -105
-5X = -105

Divide each side by '-5'.
X = 21

Simplifying
X = 21

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