3(a+2)=5(a-4)

Solution for 3(a+2)=5(a-4) equation:

Simplifying
3(a + 2) = 5(a + -4)

Reorder the terms:
3(2 + a) = 5(a + -4)
(2 * 3 + a * 3) = 5(a + -4)
(6 + 3a) = 5(a + -4)

Reorder the terms:
6 + 3a = 5(-4 + a)
6 + 3a = (-4 * 5 + a * 5)
6 + 3a = (-20 + 5a)

Solving
6 + 3a = -20 + 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.
6 + 3a + -5a = -20 + 5a + -5a

Combine like terms: 3a + -5a = -2a
6 + -2a = -20 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -2a = -20 + 0
6 + -2a = -20

Add '-6' to each side of the equation.
6 + -6 + -2a = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = -20 + -6
-2a = -20 + -6

Combine like terms: -20 + -6 = -26
-2a = -26

Divide each side by '-2'.
a = 13

Simplifying
a = 13