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

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


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

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

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

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

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

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

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

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

Combine like terms: 2x + 2x = 4x
-2 + 4x = 38

Solving
-2 + 4x = 38

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 4x = 38 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 38 + 2
4x = 38 + 2

Combine like terms: 38 + 2 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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