(x+2)+(x+5)+x=46

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Solution for (x+2)+(x+5)+x=46 equation:


Simplifying
(x + 2) + (x + 5) + x = 46

Reorder the terms:
(2 + x) + (x + 5) + x = 46

Remove parenthesis around (2 + x)
2 + x + (x + 5) + x = 46

Reorder the terms:
2 + x + (5 + x) + x = 46

Remove parenthesis around (5 + x)
2 + x + 5 + x + x = 46

Reorder the terms:
2 + 5 + x + x + x = 46

Combine like terms: 2 + 5 = 7
7 + x + x + x = 46

Combine like terms: x + x = 2x
7 + 2x + x = 46

Combine like terms: 2x + x = 3x
7 + 3x = 46

Solving
7 + 3x = 46

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 46 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 46 + -7
3x = 46 + -7

Combine like terms: 46 + -7 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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