3(a+1)=a-5

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

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

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

Reorder the terms:
3 + 3a = -5 + a

Solving
3 + 3a = -5 + 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.
3 + 3a + -1a = -5 + a + -1a

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

Combine like terms: a + -1a = 0
3 + 2a = -5 + 0
3 + 2a = -5

Add '-3' to each side of the equation.
3 + -3 + 2a = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 2a = -5 + -3
2a = -5 + -3

Combine like terms: -5 + -3 = -8
2a = -8

Divide each side by '2'.
a = -4

Simplifying
a = -4