6x+6-9(x+1)=3x+2

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Solution for 6x+6-9(x+1)=3x+2 equation:


Simplifying
6x + 6 + -9(x + 1) = 3x + 2

Reorder the terms:
6x + 6 + -9(1 + x) = 3x + 2
6x + 6 + (1 * -9 + x * -9) = 3x + 2
6x + 6 + (-9 + -9x) = 3x + 2

Reorder the terms:
6 + -9 + 6x + -9x = 3x + 2

Combine like terms: 6 + -9 = -3
-3 + 6x + -9x = 3x + 2

Combine like terms: 6x + -9x = -3x
-3 + -3x = 3x + 2

Reorder the terms:
-3 + -3x = 2 + 3x

Solving
-3 + -3x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + -3x + -3x = 2 + 3x + -3x

Combine like terms: -3x + -3x = -6x
-3 + -6x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -6x = 2 + 0
-3 + -6x = 2

Add '3' to each side of the equation.
-3 + 3 + -6x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = 2 + 3
-6x = 2 + 3

Combine like terms: 2 + 3 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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