3x-2=-9x+82

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Solution for 3x-2=-9x+82 equation:


Simplifying
3x + -2 = -9x + 82

Reorder the terms:
-2 + 3x = -9x + 82

Reorder the terms:
-2 + 3x = 82 + -9x

Solving
-2 + 3x = 82 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-2 + 3x + 9x = 82 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-2 + 12x = 82 + -9x + 9x

Combine like terms: -9x + 9x = 0
-2 + 12x = 82 + 0
-2 + 12x = 82

Add '2' to each side of the equation.
-2 + 2 + 12x = 82 + 2

Combine like terms: -2 + 2 = 0
0 + 12x = 82 + 2
12x = 82 + 2

Combine like terms: 82 + 2 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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