x+(x+7)=51

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Solution for x+(x+7)=51 equation:


Simplifying
x + (x + 7) = 51

Reorder the terms:
x + (7 + x) = 51

Remove parenthesis around (7 + x)
x + 7 + x = 51

Reorder the terms:
7 + x + x = 51

Combine like terms: x + x = 2x
7 + 2x = 51

Solving
7 + 2x = 51

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 + 2x = 51 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 51 + -7
2x = 51 + -7

Combine like terms: 51 + -7 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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