x+(x-2)+(x+3)=37

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Solution for x+(x-2)+(x+3)=37 equation:


Simplifying
x + (x + -2) + (x + 3) = 37

Reorder the terms:
x + (-2 + x) + (x + 3) = 37

Remove parenthesis around (-2 + x)
x + -2 + x + (x + 3) = 37

Reorder the terms:
x + -2 + x + (3 + x) = 37

Remove parenthesis around (3 + x)
x + -2 + x + 3 + x = 37

Reorder the terms:
-2 + 3 + x + x + x = 37

Combine like terms: -2 + 3 = 1
1 + x + x + x = 37

Combine like terms: x + x = 2x
1 + 2x + x = 37

Combine like terms: 2x + x = 3x
1 + 3x = 37

Solving
1 + 3x = 37

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 37 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 37 + -1
3x = 37 + -1

Combine like terms: 37 + -1 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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