(x+5)+(x-2)=37

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Solution for (x+5)+(x-2)=37 equation:


Simplifying
(x + 5) + (x + -2) = 37

Reorder the terms:
(5 + x) + (x + -2) = 37

Remove parenthesis around (5 + x)
5 + x + (x + -2) = 37

Reorder the terms:
5 + x + (-2 + x) = 37

Remove parenthesis around (-2 + x)
5 + x + -2 + x = 37

Reorder the terms:
5 + -2 + x + x = 37

Combine like terms: 5 + -2 = 3
3 + x + x = 37

Combine like terms: x + x = 2x
3 + 2x = 37

Solving
3 + 2x = 37

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 + 2x = 37 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 37 + -3
2x = 37 + -3

Combine like terms: 37 + -3 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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