x+(x+6)=102

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Solution for x+(x+6)=102 equation:


Simplifying
x + (x + 6) = 102

Reorder the terms:
x + (6 + x) = 102

Remove parenthesis around (6 + x)
x + 6 + x = 102

Reorder the terms:
6 + x + x = 102

Combine like terms: x + x = 2x
6 + 2x = 102

Solving
6 + 2x = 102

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 102 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 102 + -6
2x = 102 + -6

Combine like terms: 102 + -6 = 96
2x = 96

Divide each side by '2'.
x = 48

Simplifying
x = 48

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