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

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


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

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

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

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

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

Solving
2 + 2x = -6 + 6x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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