-7x+6=2x-84

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Solution for -7x+6=2x-84 equation:


Simplifying
-7x + 6 = 2x + -84

Reorder the terms:
6 + -7x = 2x + -84

Reorder the terms:
6 + -7x = -84 + 2x

Solving
6 + -7x = -84 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -7x + -2x = -84 + 2x + -2x

Combine like terms: -7x + -2x = -9x
6 + -9x = -84 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -9x = -84 + 0
6 + -9x = -84

Add '-6' to each side of the equation.
6 + -6 + -9x = -84 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -84 + -6
-9x = -84 + -6

Combine like terms: -84 + -6 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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