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

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


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

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

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

Combine like terms: -3 + 1 = -2
-2 + -3x = -3(3x + -2)

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

Solving
-2 + -3x = 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 + -3x + 9x = 6 + -9x + 9x

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

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

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

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

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

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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