2x+84=14x-36

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Solution for 2x+84=14x-36 equation:


Simplifying
2x + 84 = 14x + -36

Reorder the terms:
84 + 2x = 14x + -36

Reorder the terms:
84 + 2x = -36 + 14x

Solving
84 + 2x = -36 + 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.
84 + 2x + -14x = -36 + 14x + -14x

Combine like terms: 2x + -14x = -12x
84 + -12x = -36 + 14x + -14x

Combine like terms: 14x + -14x = 0
84 + -12x = -36 + 0
84 + -12x = -36

Add '-84' to each side of the equation.
84 + -84 + -12x = -36 + -84

Combine like terms: 84 + -84 = 0
0 + -12x = -36 + -84
-12x = -36 + -84

Combine like terms: -36 + -84 = -120
-12x = -120

Divide each side by '-12'.
x = 10

Simplifying
x = 10

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