(x+5)=20-(x+3)

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Solution for (x+5)=20-(x+3) equation:


Simplifying
(x + 5) = 20 + -1(x + 3)

Reorder the terms:
(5 + x) = 20 + -1(x + 3)

Remove parenthesis around (5 + x)
5 + x = 20 + -1(x + 3)

Reorder the terms:
5 + x = 20 + -1(3 + x)
5 + x = 20 + (3 * -1 + x * -1)
5 + x = 20 + (-3 + -1x)

Combine like terms: 20 + -3 = 17
5 + x = 17 + -1x

Solving
5 + x = 17 + -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.
5 + x + x = 17 + -1x + x

Combine like terms: x + x = 2x
5 + 2x = 17 + -1x + x

Combine like terms: -1x + x = 0
5 + 2x = 17 + 0
5 + 2x = 17

Add '-5' to each side of the equation.
5 + -5 + 2x = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 17 + -5
2x = 17 + -5

Combine like terms: 17 + -5 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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