2x+16=12x-84

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Solution for 2x+16=12x-84 equation:


Simplifying
2x + 16 = 12x + -84

Reorder the terms:
16 + 2x = 12x + -84

Reorder the terms:
16 + 2x = -84 + 12x

Solving
16 + 2x = -84 + 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.
16 + 2x + -12x = -84 + 12x + -12x

Combine like terms: 2x + -12x = -10x
16 + -10x = -84 + 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -10x = -84 + 0
16 + -10x = -84

Add '-16' to each side of the equation.
16 + -16 + -10x = -84 + -16

Combine like terms: 16 + -16 = 0
0 + -10x = -84 + -16
-10x = -84 + -16

Combine like terms: -84 + -16 = -100
-10x = -100

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

Simplifying
x = 10

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