9x-2(x-8)=(x+1)+6

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Solution for 9x-2(x-8)=(x+1)+6 equation: 


Simplifying
9x + -2(x + -8) = (x + 1) + 6

Reorder the terms:
9x + -2(-8 + x) = (x + 1) + 6
9x + (-8 * -2 + x * -2) = (x + 1) + 6
9x + (16 + -2x) = (x + 1) + 6

Reorder the terms:
16 + 9x + -2x = (x + 1) + 6

Combine like terms: 9x + -2x = 7x
16 + 7x = (x + 1) + 6

Reorder the terms:
16 + 7x = (1 + x) + 6

Remove parenthesis around (1 + x)
16 + 7x = 1 + x + 6

Reorder the terms:
16 + 7x = 1 + 6 + x

Combine like terms: 1 + 6 = 7
16 + 7x = 7 + x

Solving
16 + 7x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + 7x + -1x = 7 + x + -1x

Combine like terms: 7x + -1x = 6x
16 + 6x = 7 + x + -1x

Combine like terms: x + -1x = 0
16 + 6x = 7 + 0
16 + 6x = 7

Add '-16' to each side of the equation.
16 + -16 + 6x = 7 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = 7 + -16
6x = 7 + -16

Combine like terms: 7 + -16 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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