(2x+2)-(x-4)=16

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Solution for (2x+2)-(x-4)=16 equation:


Simplifying
(2x + 2) + -1(x + -4) = 16

Reorder the terms:
(2 + 2x) + -1(x + -4) = 16

Remove parenthesis around (2 + 2x)
2 + 2x + -1(x + -4) = 16

Reorder the terms:
2 + 2x + -1(-4 + x) = 16
2 + 2x + (-4 * -1 + x * -1) = 16
2 + 2x + (4 + -1x) = 16

Reorder the terms:
2 + 4 + 2x + -1x = 16

Combine like terms: 2 + 4 = 6
6 + 2x + -1x = 16

Combine like terms: 2x + -1x = 1x
6 + 1x = 16

Solving
6 + 1x = 16

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 16 + -6
1x = 16 + -6

Combine like terms: 16 + -6 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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