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

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


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

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

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

Combine like terms: -1x + 9x = 8x
-3 + 8x = 2(x + -1) + -3

Reorder the terms:
-3 + 8x = 2(-1 + x) + -3
-3 + 8x = (-1 * 2 + x * 2) + -3
-3 + 8x = (-2 + 2x) + -3

Reorder the terms:
-3 + 8x = -2 + -3 + 2x

Combine like terms: -2 + -3 = -5
-3 + 8x = -5 + 2x

Solving
-3 + 8x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 8x + -2x = -5 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-3 + 6x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 6x = -5 + 0
-3 + 6x = -5

Add '3' to each side of the equation.
-3 + 3 + 6x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -5 + 3
6x = -5 + 3

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

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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