x+(x+13)=51

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Solution for x+(x+13)=51 equation:


Simplifying
x + (x + 13) = 51

Reorder the terms:
x + (13 + x) = 51

Remove parenthesis around (13 + x)
x + 13 + x = 51

Reorder the terms:
13 + x + x = 51

Combine like terms: x + x = 2x
13 + 2x = 51

Solving
13 + 2x = 51

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 51 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 51 + -13
2x = 51 + -13

Combine like terms: 51 + -13 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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