x+(x+2)+(3x-5)=37

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Solution for x+(x+2)+(3x-5)=37 equation:


Simplifying
x + (x + 2) + (3x + -5) = 37

Reorder the terms:
x + (2 + x) + (3x + -5) = 37

Remove parenthesis around (2 + x)
x + 2 + x + (3x + -5) = 37

Reorder the terms:
x + 2 + x + (-5 + 3x) = 37

Remove parenthesis around (-5 + 3x)
x + 2 + x + -5 + 3x = 37

Reorder the terms:
2 + -5 + x + x + 3x = 37

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

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

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

Solving
-3 + 5x = 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 + 5x = 37 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 37 + 3
5x = 37 + 3

Combine like terms: 37 + 3 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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