2x+(x+5)+(x-2)=13

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Solution for 2x+(x+5)+(x-2)=13 equation: 


Simplifying
2x + (x + 5) + (x + -2) = 13

Reorder the terms:
2x + (5 + x) + (x + -2) = 13

Remove parenthesis around (5 + x)
2x + 5 + x + (x + -2) = 13

Reorder the terms:
2x + 5 + x + (-2 + x) = 13

Remove parenthesis around (-2 + x)
2x + 5 + x + -2 + x = 13

Reorder the terms:
5 + -2 + 2x + x + x = 13

Combine like terms: 5 + -2 = 3
3 + 2x + x + x = 13

Combine like terms: 2x + x = 3x
3 + 3x + x = 13

Combine like terms: 3x + x = 4x
3 + 4x = 13

Solving
3 + 4x = 13

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 + 4x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 13 + -3
4x = 13 + -3

Combine like terms: 13 + -3 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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