9(x+3)-3(x-2)=2(x-4)+3(x-1)

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Solution for 9(x+3)-3(x-2)=2(x-4)+3(x-1) equation: 


Simplifying
9(x + 3) + -3(x + -2) = 2(x + -4) + 3(x + -1)

Reorder the terms:
9(3 + x) + -3(x + -2) = 2(x + -4) + 3(x + -1)
(3 * 9 + x * 9) + -3(x + -2) = 2(x + -4) + 3(x + -1)
(27 + 9x) + -3(x + -2) = 2(x + -4) + 3(x + -1)

Reorder the terms:
27 + 9x + -3(-2 + x) = 2(x + -4) + 3(x + -1)
27 + 9x + (-2 * -3 + x * -3) = 2(x + -4) + 3(x + -1)
27 + 9x + (6 + -3x) = 2(x + -4) + 3(x + -1)

Reorder the terms:
27 + 6 + 9x + -3x = 2(x + -4) + 3(x + -1)

Combine like terms: 27 + 6 = 33
33 + 9x + -3x = 2(x + -4) + 3(x + -1)

Combine like terms: 9x + -3x = 6x
33 + 6x = 2(x + -4) + 3(x + -1)

Reorder the terms:
33 + 6x = 2(-4 + x) + 3(x + -1)
33 + 6x = (-4 * 2 + x * 2) + 3(x + -1)
33 + 6x = (-8 + 2x) + 3(x + -1)

Reorder the terms:
33 + 6x = -8 + 2x + 3(-1 + x)
33 + 6x = -8 + 2x + (-1 * 3 + x * 3)
33 + 6x = -8 + 2x + (-3 + 3x)

Reorder the terms:
33 + 6x = -8 + -3 + 2x + 3x

Combine like terms: -8 + -3 = -11
33 + 6x = -11 + 2x + 3x

Combine like terms: 2x + 3x = 5x
33 + 6x = -11 + 5x

Solving
33 + 6x = -11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
33 + 6x + -5x = -11 + 5x + -5x

Combine like terms: 6x + -5x = 1x
33 + 1x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + 1x = -11 + 0
33 + 1x = -11

Add '-33' to each side of the equation.
33 + -33 + 1x = -11 + -33

Combine like terms: 33 + -33 = 0
0 + 1x = -11 + -33
1x = -11 + -33

Combine like terms: -11 + -33 = -44
1x = -44

Divide each side by '1'.
x = -44

Simplifying
x = -44

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