10(a+1)=(a+2)-2

Solution for 10(a+1)=(a+2)-2 equation:

Simplifying
10(a + 1) = (a + 2) + -2

Reorder the terms:
10(1 + a) = (a + 2) + -2
(1 * 10 + a * 10) = (a + 2) + -2
(10 + 10a) = (a + 2) + -2

Reorder the terms:
10 + 10a = (2 + a) + -2

Remove parenthesis around (2 + a)
10 + 10a = 2 + a + -2

Reorder the terms:
10 + 10a = 2 + -2 + a

Combine like terms: 2 + -2 = 0
10 + 10a = 0 + a
10 + 10a = a

Solving
10 + 10a = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
10 + 10a + -1a = a + -1a

Combine like terms: 10a + -1a = 9a
10 + 9a = a + -1a

Combine like terms: a + -1a = 0
10 + 9a = 0

Add '-10' to each side of the equation.
10 + -10 + 9a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9a = 0 + -10
9a = 0 + -10

Combine like terms: 0 + -10 = -10
9a = -10

Divide each side by '9'.
a = -1.111111111

Simplifying
a = -1.111111111