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

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


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

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

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

Combine like terms: 5 + -3 = 2
2 + x = 3 + -1(x + -5)

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

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

Solving
2 + x = 8 + -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
2 + 2x = 8 + 0
2 + 2x = 8

Add '-2' to each side of the equation.
2 + -2 + 2x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 8 + -2
2x = 8 + -2

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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