6x+84=3x-12

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Solution for 6x+84=3x-12 equation:


Simplifying
6x + 84 = 3x + -12

Reorder the terms:
84 + 6x = 3x + -12

Reorder the terms:
84 + 6x = -12 + 3x

Solving
84 + 6x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
84 + 6x + -3x = -12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
84 + 3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
84 + 3x = -12 + 0
84 + 3x = -12

Add '-84' to each side of the equation.
84 + -84 + 3x = -12 + -84

Combine like terms: 84 + -84 = 0
0 + 3x = -12 + -84
3x = -12 + -84

Combine like terms: -12 + -84 = -96
3x = -96

Divide each side by '3'.
x = -32

Simplifying
x = -32

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