3(2+a)=5a+16

Solution for 3(2+a)=5a+16 equation:

Simplifying
3(2 + a) = 5a + 16
(2 * 3 + a * 3) = 5a + 16
(6 + 3a) = 5a + 16

Reorder the terms:
6 + 3a = 16 + 5a

Solving
6 + 3a = 16 + 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 = 16 + 5a + -5a

Combine like terms: 3a + -5a = -2a
6 + -2a = 16 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -2a = 16 + 0
6 + -2a = 16

Add '-6' to each side of the equation.
6 + -6 + -2a = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = 16 + -6
-2a = 16 + -6

Combine like terms: 16 + -6 = 10
-2a = 10

Divide each side by '-2'.
a = -5

Simplifying
a = -5