2(x+8)=9x-6

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


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

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

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

Solving
16 + 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.
16 + 2x + -9x = -6 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
16 + -7x = -6 + 0
16 + -7x = -6

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

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

Combine like terms: -6 + -16 = -22
-7x = -22

Divide each side by '-7'.
x = 3.142857143

Simplifying
x = 3.142857143

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