x+(x-2)+(x+5)=33

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Solution for x+(x-2)+(x+5)=33 equation:


Simplifying
x + (x + -2) + (x + 5) = 33

Reorder the terms:
x + (-2 + x) + (x + 5) = 33

Remove parenthesis around (-2 + x)
x + -2 + x + (x + 5) = 33

Reorder the terms:
x + -2 + x + (5 + x) = 33

Remove parenthesis around (5 + x)
x + -2 + x + 5 + x = 33

Reorder the terms:
-2 + 5 + x + x + x = 33

Combine like terms: -2 + 5 = 3
3 + x + x + x = 33

Combine like terms: x + x = 2x
3 + 2x + x = 33

Combine like terms: 2x + x = 3x
3 + 3x = 33

Solving
3 + 3x = 33

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 3x = 33 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 33 + -3
3x = 33 + -3

Combine like terms: 33 + -3 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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