2x+8=9x-6

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Solution for 2x+8=9x-6 equation:


Simplifying
2x + 8 = 9x + -6

Reorder the terms:
8 + 2x = 9x + -6

Reorder the terms:
8 + 2x = -6 + 9x

Solving
8 + 2x = -6 + 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 + 2x + -9x = -6 + 9x + -9x

Combine like terms: 2x + -9x = -7x
8 + -7x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -7x = -6 + 0
8 + -7x = -6

Add '-8' to each side of the equation.
8 + -8 + -7x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -6 + -8
-7x = -6 + -8

Combine like terms: -6 + -8 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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