-x+2=6x-82

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Solution for -x+2=6x-82 equation:


Simplifying
-1x + 2 = 6x + -82

Reorder the terms:
2 + -1x = 6x + -82

Reorder the terms:
2 + -1x = -82 + 6x

Solving
2 + -1x = -82 + 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.
2 + -1x + -6x = -82 + 6x + -6x

Combine like terms: -1x + -6x = -7x
2 + -7x = -82 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -7x = -82 + 0
2 + -7x = -82

Add '-2' to each side of the equation.
2 + -2 + -7x = -82 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -82 + -2
-7x = -82 + -2

Combine like terms: -82 + -2 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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