17=a+(a+1)+(a+2)

Solution for 17=a+(a+1)+(a+2) equation:

Simplifying
17 = a + (a + 1) + (a + 2)

Reorder the terms:
17 = a + (1 + a) + (a + 2)

Remove parenthesis around (1 + a)
17 = a + 1 + a + (a + 2)

Reorder the terms:
17 = a + 1 + a + (2 + a)

Remove parenthesis around (2 + a)
17 = a + 1 + a + 2 + a

Reorder the terms:
17 = 1 + 2 + a + a + a

Combine like terms: 1 + 2 = 3
17 = 3 + a + a + a

Combine like terms: a + a = 2a
17 = 3 + 2a + a

Combine like terms: 2a + a = 3a
17 = 3 + 3a

Solving
17 = 3 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
17 + -3a = 3 + 3a + -3a

Combine like terms: 3a + -3a = 0
17 + -3a = 3 + 0
17 + -3a = 3

Add '-17' to each side of the equation.
17 + -17 + -3a = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -3a = 3 + -17
-3a = 3 + -17

Combine like terms: 3 + -17 = -14
-3a = -14

Divide each side by '-3'.
a = 4.666666667

Simplifying
a = 4.666666667