2x-204=14x+84

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Solution for 2x-204=14x+84 equation:


Simplifying
2x + -204 = 14x + 84

Reorder the terms:
-204 + 2x = 14x + 84

Reorder the terms:
-204 + 2x = 84 + 14x

Solving
-204 + 2x = 84 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-204 + 2x + -14x = 84 + 14x + -14x

Combine like terms: 2x + -14x = -12x
-204 + -12x = 84 + 14x + -14x

Combine like terms: 14x + -14x = 0
-204 + -12x = 84 + 0
-204 + -12x = 84

Add '204' to each side of the equation.
-204 + 204 + -12x = 84 + 204

Combine like terms: -204 + 204 = 0
0 + -12x = 84 + 204
-12x = 84 + 204

Combine like terms: 84 + 204 = 288
-12x = 288

Divide each side by '-12'.
x = -24

Simplifying
x = -24

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