7x+6=9x-12

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Solution for 7x+6=9x-12 equation:


Simplifying
7x + 6 = 9x + -12

Reorder the terms:
6 + 7x = 9x + -12

Reorder the terms:
6 + 7x = -12 + 9x

Solving
6 + 7x = -12 + 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.
6 + 7x + -9x = -12 + 9x + -9x

Combine like terms: 7x + -9x = -2x
6 + -2x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -2x = -12 + 0
6 + -2x = -12

Add '-6' to each side of the equation.
6 + -6 + -2x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -12 + -6
-2x = -12 + -6

Combine like terms: -12 + -6 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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