2x+27=12x-53

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Solution for 2x+27=12x-53 equation:


Simplifying
2x + 27 = 12x + -53

Reorder the terms:
27 + 2x = 12x + -53

Reorder the terms:
27 + 2x = -53 + 12x

Solving
27 + 2x = -53 + 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 + 2x + -12x = -53 + 12x + -12x

Combine like terms: 2x + -12x = -10x
27 + -10x = -53 + 12x + -12x

Combine like terms: 12x + -12x = 0
27 + -10x = -53 + 0
27 + -10x = -53

Add '-27' to each side of the equation.
27 + -27 + -10x = -53 + -27

Combine like terms: 27 + -27 = 0
0 + -10x = -53 + -27
-10x = -53 + -27

Combine like terms: -53 + -27 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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