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

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


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

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

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

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

Solving
-3 + 6x = -6 + 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.
-3 + 6x + -5x = -6 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-3 + 1x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 1x = -6 + 0
-3 + 1x = -6

Add '3' to each side of the equation.
-3 + 3 + 1x = -6 + 3

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

Combine like terms: -6 + 3 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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