x+(x+10)+(x-5)=51

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Solution for x+(x+10)+(x-5)=51 equation:


Simplifying
x + (x + 10) + (x + -5) = 51

Reorder the terms:
x + (10 + x) + (x + -5) = 51

Remove parenthesis around (10 + x)
x + 10 + x + (x + -5) = 51

Reorder the terms:
x + 10 + x + (-5 + x) = 51

Remove parenthesis around (-5 + x)
x + 10 + x + -5 + x = 51

Reorder the terms:
10 + -5 + x + x + x = 51

Combine like terms: 10 + -5 = 5
5 + x + x + x = 51

Combine like terms: x + x = 2x
5 + 2x + x = 51

Combine like terms: 2x + x = 3x
5 + 3x = 51

Solving
5 + 3x = 51

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 51 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 51 + -5
3x = 51 + -5

Combine like terms: 51 + -5 = 46
3x = 46

Divide each side by '3'.
x = 15.33333333

Simplifying
x = 15.33333333

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