x+(3-x)+(5+2x)=38

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Solution for x+(3-x)+(5+2x)=38 equation:


Simplifying
x + (3 + -1x) + (5 + 2x) = 38

Remove parenthesis around (3 + -1x)
x + 3 + -1x + (5 + 2x) = 38

Remove parenthesis around (5 + 2x)
x + 3 + -1x + 5 + 2x = 38

Reorder the terms:
3 + 5 + x + -1x + 2x = 38

Combine like terms: 3 + 5 = 8
8 + x + -1x + 2x = 38

Combine like terms: x + -1x = 0
8 + 0 + 2x = 38
8 + 2x = 38

Solving
8 + 2x = 38

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x = 38 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 38 + -8
2x = 38 + -8

Combine like terms: 38 + -8 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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