3-5(a+6)=-3(a-1)

Solution for 3-5(a+6)=-3(a-1) equation:

Simplifying
3 + -5(a + 6) = -3(a + -1)

Reorder the terms:
3 + -5(6 + a) = -3(a + -1)
3 + (6 * -5 + a * -5) = -3(a + -1)
3 + (-30 + -5a) = -3(a + -1)

Combine like terms: 3 + -30 = -27
-27 + -5a = -3(a + -1)

Reorder the terms:
-27 + -5a = -3(-1 + a)
-27 + -5a = (-1 * -3 + a * -3)
-27 + -5a = (3 + -3a)

Solving
-27 + -5a = 3 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-27 + -5a + 3a = 3 + -3a + 3a

Combine like terms: -5a + 3a = -2a
-27 + -2a = 3 + -3a + 3a

Combine like terms: -3a + 3a = 0
-27 + -2a = 3 + 0
-27 + -2a = 3

Add '27' to each side of the equation.
-27 + 27 + -2a = 3 + 27

Combine like terms: -27 + 27 = 0
0 + -2a = 3 + 27
-2a = 3 + 27

Combine like terms: 3 + 27 = 30
-2a = 30

Divide each side by '-2'.
a = -15

Simplifying
a = -15