3(2a+1)=-5(a+6)

Solution for 3(2a+1)=-5(a+6) equation:

Simplifying
3(2a + 1) = -5(a + 6)

Reorder the terms:
3(1 + 2a) = -5(a + 6)
(1 * 3 + 2a * 3) = -5(a + 6)
(3 + 6a) = -5(a + 6)

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

Solving
3 + 6a = -30 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
3 + 6a + 5a = -30 + -5a + 5a

Combine like terms: 6a + 5a = 11a
3 + 11a = -30 + -5a + 5a

Combine like terms: -5a + 5a = 0
3 + 11a = -30 + 0
3 + 11a = -30

Add '-3' to each side of the equation.
3 + -3 + 11a = -30 + -3

Combine like terms: 3 + -3 = 0
0 + 11a = -30 + -3
11a = -30 + -3

Combine like terms: -30 + -3 = -33
11a = -33

Divide each side by '11'.
a = -3

Simplifying
a = -3