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

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


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

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

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

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

Remove parenthesis around (-2 + 3x)
-6 + 2x = x + -2 + 3x

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

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

Solving
-6 + 2x = -2 + 4x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -2

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