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

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


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

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

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

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

Solving
-6 + 2x = 2 + -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.
-6 + 2x + 2x = 2 + -2x + 2x

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

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 2 + 6

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

Combine like terms: 2 + 6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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