2(x+3)-4=12+(x-3)

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Solution for 2(x+3)-4=12+(x-3) equation: 


Simplifying
2(x + 3) + -4 = 12 + (x + -3)

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

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

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

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

Remove parenthesis around (-3 + x)
2 + 2x = 12 + -3 + x

Combine like terms: 12 + -3 = 9
2 + 2x = 9 + x

Solving
2 + 2x = 9 + x

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.
2 + 2x + -1x = 9 + x + -1x

Combine like terms: 2x + -1x = 1x
2 + 1x = 9 + x + -1x

Combine like terms: x + -1x = 0
2 + 1x = 9 + 0
2 + 1x = 9

Add '-2' to each side of the equation.
2 + -2 + 1x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 9 + -2
1x = 9 + -2

Combine like terms: 9 + -2 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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