2(x-3)-3(x-2)=x+2-(x-6)

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Solution for 2(x-3)-3(x-2)=x+2-(x-6) equation: 


Simplifying
2(x + -3) + -3(x + -2) = x + 2 + -1(x + -6)

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

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

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

Combine like terms: -6 + 6 = 0
0 + 2x + -3x = x + 2 + -1(x + -6)
2x + -3x = x + 2 + -1(x + -6)

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

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

Reorder the terms:
-1x = 2 + 6 + x + -1x

Combine like terms: 2 + 6 = 8
-1x = 8 + x + -1x

Combine like terms: x + -1x = 0
-1x = 8 + 0
-1x = 8

Solving
-1x = 8

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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