6+(x+1)+(x+2)=51

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Solution for 6+(x+1)+(x+2)=51 equation:


Simplifying
6 + (x + 1) + (x + 2) = 51

Reorder the terms:
6 + (1 + x) + (x + 2) = 51

Remove parenthesis around (1 + x)
6 + 1 + x + (x + 2) = 51

Reorder the terms:
6 + 1 + x + (2 + x) = 51

Remove parenthesis around (2 + x)
6 + 1 + x + 2 + x = 51

Reorder the terms:
6 + 1 + 2 + x + x = 51

Combine like terms: 6 + 1 = 7
7 + 2 + x + x = 51

Combine like terms: 7 + 2 = 9
9 + x + x = 51

Combine like terms: x + x = 2x
9 + 2x = 51

Solving
9 + 2x = 51

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 51 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 51 + -9
2x = 51 + -9

Combine like terms: 51 + -9 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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