3(a+1)=2(a-5)

Solution for 3(a+1)=2(a-5) equation:

Simplifying
3(a + 1) = 2(a + -5)

Reorder the terms:
3(1 + a) = 2(a + -5)
(1 * 3 + a * 3) = 2(a + -5)
(3 + 3a) = 2(a + -5)

Reorder the terms:
3 + 3a = 2(-5 + a)
3 + 3a = (-5 * 2 + a * 2)
3 + 3a = (-10 + 2a)

Solving
3 + 3a = -10 + 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 = -10 + 2a + -2a

Combine like terms: 3a + -2a = 1a
3 + 1a = -10 + 2a + -2a

Combine like terms: 2a + -2a = 0
3 + 1a = -10 + 0
3 + 1a = -10

Add '-3' to each side of the equation.
3 + -3 + 1a = -10 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = -10 + -3
1a = -10 + -3

Combine like terms: -10 + -3 = -13
1a = -13

Divide each side by '1'.
a = -13

Simplifying
a = -13