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

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


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

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

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

Combine like terms: -12 + 2 = -10
-10 + 6x = (2x + -1) + -3(x + -4)

Reorder the terms:
-10 + 6x = (-1 + 2x) + -3(x + -4)

Remove parenthesis around (-1 + 2x)
-10 + 6x = -1 + 2x + -3(x + -4)

Reorder the terms:
-10 + 6x = -1 + 2x + -3(-4 + x)
-10 + 6x = -1 + 2x + (-4 * -3 + x * -3)
-10 + 6x = -1 + 2x + (12 + -3x)

Reorder the terms:
-10 + 6x = -1 + 12 + 2x + -3x

Combine like terms: -1 + 12 = 11
-10 + 6x = 11 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-10 + 6x = 11 + -1x

Solving
-10 + 6x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 6x + x = 11 + -1x + x

Combine like terms: 6x + x = 7x
-10 + 7x = 11 + -1x + x

Combine like terms: -1x + x = 0
-10 + 7x = 11 + 0
-10 + 7x = 11

Add '10' to each side of the equation.
-10 + 10 + 7x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 11 + 10
7x = 11 + 10

Combine like terms: 11 + 10 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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