3(a+1)=2(a+6)

Solution for 3(a+1)=2(a+6) equation:

Simplifying
3(a + 1) = 2(a + 6)

Reorder the terms:
3(1 + a) = 2(a + 6)
(1 * 3 + a * 3) = 2(a + 6)
(3 + 3a) = 2(a + 6)

Reorder the terms:
3 + 3a = 2(6 + a)
3 + 3a = (6 * 2 + a * 2)
3 + 3a = (12 + 2a)

Solving
3 + 3a = 12 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
3 + 3a + -2a = 12 + 2a + -2a

Combine like terms: 3a + -2a = 1a
3 + 1a = 12 + 2a + -2a

Combine like terms: 2a + -2a = 0
3 + 1a = 12 + 0
3 + 1a = 12

Add '-3' to each side of the equation.
3 + -3 + 1a = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = 12 + -3
1a = 12 + -3

Combine like terms: 12 + -3 = 9
1a = 9

Divide each side by '1'.
a = 9

Simplifying
a = 9