51=x+(x+1)+(x-1)

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Solution for 51=x+(x+1)+(x-1) equation:


Simplifying
51 = x + (x + 1) + (x + -1)

Reorder the terms:
51 = x + (1 + x) + (x + -1)

Remove parenthesis around (1 + x)
51 = x + 1 + x + (x + -1)

Reorder the terms:
51 = x + 1 + x + (-1 + x)

Remove parenthesis around (-1 + x)
51 = x + 1 + x + -1 + x

Reorder the terms:
51 = 1 + -1 + x + x + x

Combine like terms: 1 + -1 = 0
51 = 0 + x + x + x
51 = x + x + x

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

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

Solving
51 = 3x

Solving for variable 'x'.

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

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

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

Add '-51' to each side of the equation.
51 + -51 + -3x = 0 + -51

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

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

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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