9(x+1)=6-2(9x+7)

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Solution for 9(x+1)=6-2(9x+7) equation:


Simplifying
9(x + 1) = 6 + -2(9x + 7)

Reorder the terms:
9(1 + x) = 6 + -2(9x + 7)
(1 * 9 + x * 9) = 6 + -2(9x + 7)
(9 + 9x) = 6 + -2(9x + 7)

Reorder the terms:
9 + 9x = 6 + -2(7 + 9x)
9 + 9x = 6 + (7 * -2 + 9x * -2)
9 + 9x = 6 + (-14 + -18x)

Combine like terms: 6 + -14 = -8
9 + 9x = -8 + -18x

Solving
9 + 9x = -8 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
9 + 9x + 18x = -8 + -18x + 18x

Combine like terms: 9x + 18x = 27x
9 + 27x = -8 + -18x + 18x

Combine like terms: -18x + 18x = 0
9 + 27x = -8 + 0
9 + 27x = -8

Add '-9' to each side of the equation.
9 + -9 + 27x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 27x = -8 + -9
27x = -8 + -9

Combine like terms: -8 + -9 = -17
27x = -17

Divide each side by '27'.
x = -0.6296296296

Simplifying
x = -0.6296296296

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