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

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


Simplifying
3(x + -2) + -2(x + -1) + -3x + 2 = 0

Reorder the terms:
3(-2 + x) + -2(x + -1) + -3x + 2 = 0
(-2 * 3 + x * 3) + -2(x + -1) + -3x + 2 = 0
(-6 + 3x) + -2(x + -1) + -3x + 2 = 0

Reorder the terms:
-6 + 3x + -2(-1 + x) + -3x + 2 = 0
-6 + 3x + (-1 * -2 + x * -2) + -3x + 2 = 0
-6 + 3x + (2 + -2x) + -3x + 2 = 0

Reorder the terms:
-6 + 2 + 2 + 3x + -2x + -3x = 0

Combine like terms: -6 + 2 = -4
-4 + 2 + 3x + -2x + -3x = 0

Combine like terms: -4 + 2 = -2
-2 + 3x + -2x + -3x = 0

Combine like terms: 3x + -2x = 1x
-2 + 1x + -3x = 0

Combine like terms: 1x + -3x = -2x
-2 + -2x = 0

Solving
-2 + -2x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -2x = 0 + 2

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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