3(a+1)+2(a-1)=61

Solution for 3(a+1)+2(a-1)=61 equation:

Simplifying
3(a + 1) + 2(a + -1) = 61

Reorder the terms:
3(1 + a) + 2(a + -1) = 61
(1 * 3 + a * 3) + 2(a + -1) = 61
(3 + 3a) + 2(a + -1) = 61

Reorder the terms:
3 + 3a + 2(-1 + a) = 61
3 + 3a + (-1 * 2 + a * 2) = 61
3 + 3a + (-2 + 2a) = 61

Reorder the terms:
3 + -2 + 3a + 2a = 61

Combine like terms: 3 + -2 = 1
1 + 3a + 2a = 61

Combine like terms: 3a + 2a = 5a
1 + 5a = 61

Solving
1 + 5a = 61

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + 5a = 61 + -1

Combine like terms: 1 + -1 = 0
0 + 5a = 61 + -1
5a = 61 + -1

Combine like terms: 61 + -1 = 60
5a = 60

Divide each side by '5'.
a = 12

Simplifying
a = 12