5x+27=12x-57

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Solution for 5x+27=12x-57 equation:


Simplifying
5x + 27 = 12x + -57

Reorder the terms:
27 + 5x = 12x + -57

Reorder the terms:
27 + 5x = -57 + 12x

Solving
27 + 5x = -57 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
27 + 5x + -12x = -57 + 12x + -12x

Combine like terms: 5x + -12x = -7x
27 + -7x = -57 + 12x + -12x

Combine like terms: 12x + -12x = 0
27 + -7x = -57 + 0
27 + -7x = -57

Add '-27' to each side of the equation.
27 + -27 + -7x = -57 + -27

Combine like terms: 27 + -27 = 0
0 + -7x = -57 + -27
-7x = -57 + -27

Combine like terms: -57 + -27 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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