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

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


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

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

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

Combine like terms: 9 + -1 = 8
8 + 9x = 6x + -3(-1 + x)
8 + 9x = 6x + (-1 * -3 + x * -3)
8 + 9x = 6x + (3 + -3x)

Reorder the terms:
8 + 9x = 3 + 6x + -3x

Combine like terms: 6x + -3x = 3x
8 + 9x = 3 + 3x

Solving
8 + 9x = 3 + 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.
8 + 9x + -3x = 3 + 3x + -3x

Combine like terms: 9x + -3x = 6x
8 + 6x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 6x = 3 + 0
8 + 6x = 3

Add '-8' to each side of the equation.
8 + -8 + 6x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 3 + -8
6x = 3 + -8

Combine like terms: 3 + -8 = -5
6x = -5

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

Simplifying
x = -0.8333333333

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