6x+8=9x-12

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Solution for 6x+8=9x-12 equation:


Simplifying
6x + 8 = 9x + -12

Reorder the terms:
8 + 6x = 9x + -12

Reorder the terms:
8 + 6x = -12 + 9x

Solving
8 + 6x = -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.
8 + 6x + -9x = -12 + 9x + -9x

Combine like terms: 6x + -9x = -3x
8 + -3x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -3x = -12 + 0
8 + -3x = -12

Add '-8' to each side of the equation.
8 + -8 + -3x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -12 + -8
-3x = -12 + -8

Combine like terms: -12 + -8 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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