2(x+1)=9x-6

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


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

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

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

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

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

Combine like terms: 9x + -9x = 0
2 + -7x = -6 + 0
2 + -7x = -6

Add '-2' to each side of the equation.
2 + -2 + -7x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -6 + -2
-7x = -6 + -2

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

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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