x+2=9(x+2)-6

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Solution for x+2=9(x+2)-6 equation:


Simplifying
x + 2 = 9(x + 2) + -6

Reorder the terms:
2 + x = 9(x + 2) + -6

Reorder the terms:
2 + x = 9(2 + x) + -6
2 + x = (2 * 9 + x * 9) + -6
2 + x = (18 + 9x) + -6

Reorder the terms:
2 + x = 18 + -6 + 9x

Combine like terms: 18 + -6 = 12
2 + x = 12 + 9x

Solving
2 + x = 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.
2 + x + -9x = 12 + 9x + -9x

Combine like terms: x + -9x = -8x
2 + -8x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -8x = 12 + 0
2 + -8x = 12

Add '-2' to each side of the equation.
2 + -2 + -8x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = 12 + -2
-8x = 12 + -2

Combine like terms: 12 + -2 = 10
-8x = 10

Divide each side by '-8'.
x = -1.25

Simplifying
x = -1.25

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