3x+84=6x-6

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


Simplifying
3x + 84 = 6x + -6

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

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

Solving
84 + 3x = -6 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
84 + -3x = -6 + 0
84 + -3x = -6

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

Combine like terms: 84 + -84 = 0
0 + -3x = -6 + -84
-3x = -6 + -84

Combine like terms: -6 + -84 = -90
-3x = -90

Divide each side by '-3'.
x = 30

Simplifying
x = 30

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