(x+2)+(x-1)+x=13

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Solution for (x+2)+(x-1)+x=13 equation:


Simplifying
(x + 2) + (x + -1) + x = 13

Reorder the terms:
(2 + x) + (x + -1) + x = 13

Remove parenthesis around (2 + x)
2 + x + (x + -1) + x = 13

Reorder the terms:
2 + x + (-1 + x) + x = 13

Remove parenthesis around (-1 + x)
2 + x + -1 + x + x = 13

Reorder the terms:
2 + -1 + x + x + x = 13

Combine like terms: 2 + -1 = 1
1 + x + x + x = 13

Combine like terms: x + x = 2x
1 + 2x + x = 13

Combine like terms: 2x + x = 3x
1 + 3x = 13

Solving
1 + 3x = 13

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 = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 13 + -1
3x = 13 + -1

Combine like terms: 13 + -1 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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