3(2x-4)+2=(3x-1)-2(x-3)

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Solution for 3(2x-4)+2=(3x-1)-2(x-3) equation:


Simplifying
3(2x + -4) + 2 = (3x + -1) + -2(x + -3)

Reorder the terms:
3(-4 + 2x) + 2 = (3x + -1) + -2(x + -3)
(-4 * 3 + 2x * 3) + 2 = (3x + -1) + -2(x + -3)
(-12 + 6x) + 2 = (3x + -1) + -2(x + -3)

Reorder the terms:
-12 + 2 + 6x = (3x + -1) + -2(x + -3)

Combine like terms: -12 + 2 = -10
-10 + 6x = (3x + -1) + -2(x + -3)

Reorder the terms:
-10 + 6x = (-1 + 3x) + -2(x + -3)

Remove parenthesis around (-1 + 3x)
-10 + 6x = -1 + 3x + -2(x + -3)

Reorder the terms:
-10 + 6x = -1 + 3x + -2(-3 + x)
-10 + 6x = -1 + 3x + (-3 * -2 + x * -2)
-10 + 6x = -1 + 3x + (6 + -2x)

Reorder the terms:
-10 + 6x = -1 + 6 + 3x + -2x

Combine like terms: -1 + 6 = 5
-10 + 6x = 5 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-10 + 6x = 5 + 1x

Solving
-10 + 6x = 5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 6x + -1x = 5 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-10 + 5x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
-10 + 5x = 5 + 0
-10 + 5x = 5

Add '10' to each side of the equation.
-10 + 10 + 5x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 5 + 10
5x = 5 + 10

Combine like terms: 5 + 10 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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