(x+7)-(x-3)=(5+x)-(x-3)+x

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Solution for (x+7)-(x-3)=(5+x)-(x-3)+x equation: 


Simplifying
(x + 7) + -1(x + -3) = (5 + x) + -1(x + -3) + x

Reorder the terms:
(7 + x) + -1(x + -3) = (5 + x) + -1(x + -3) + x

Remove parenthesis around (7 + x)
7 + x + -1(x + -3) = (5 + x) + -1(x + -3) + x

Reorder the terms:
7 + x + -1(-3 + x) = (5 + x) + -1(x + -3) + x
7 + x + (-3 * -1 + x * -1) = (5 + x) + -1(x + -3) + x
7 + x + (3 + -1x) = (5 + x) + -1(x + -3) + x

Reorder the terms:
7 + 3 + x + -1x = (5 + x) + -1(x + -3) + x

Combine like terms: 7 + 3 = 10
10 + x + -1x = (5 + x) + -1(x + -3) + x

Combine like terms: x + -1x = 0
10 + 0 = (5 + x) + -1(x + -3) + x
10 = (5 + x) + -1(x + -3) + x

Remove parenthesis around (5 + x)
10 = 5 + x + -1(x + -3) + x

Reorder the terms:
10 = 5 + x + -1(-3 + x) + x
10 = 5 + x + (-3 * -1 + x * -1) + x
10 = 5 + x + (3 + -1x) + x

Reorder the terms:
10 = 5 + 3 + x + -1x + x

Combine like terms: 5 + 3 = 8
10 = 8 + x + -1x + x

Combine like terms: x + -1x = 0
10 = 8 + 0 + x
10 = 8 + x

Solving
10 = 8 + 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.
10 + -1x = 8 + x + -1x

Combine like terms: x + -1x = 0
10 + -1x = 8 + 0
10 + -1x = 8

Add '-10' to each side of the equation.
10 + -10 + -1x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 8 + -10
-1x = 8 + -10

Combine like terms: 8 + -10 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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