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

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Solution for 6-(x-3)=2+(2x+4) equation:


Simplifying
6 + -1(x + -3) = 2 + (2x + 4)

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

Combine like terms: 6 + 3 = 9
9 + -1x = 2 + (2x + 4)

Reorder the terms:
9 + -1x = 2 + (4 + 2x)

Remove parenthesis around (4 + 2x)
9 + -1x = 2 + 4 + 2x

Combine like terms: 2 + 4 = 6
9 + -1x = 6 + 2x

Solving
9 + -1x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -1x + -2x = 6 + 2x + -2x

Combine like terms: -1x + -2x = -3x
9 + -3x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -3x = 6 + 0
9 + -3x = 6

Add '-9' to each side of the equation.
9 + -9 + -3x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 6 + -9
-3x = 6 + -9

Combine like terms: 6 + -9 = -3
-3x = -3

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

Simplifying
x = 1

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