5(a+4)=3(6+a)

Solution for 5(a+4)=3(6+a) equation:

Simplifying
5(a + 4) = 3(6 + a)

Reorder the terms:
5(4 + a) = 3(6 + a)
(4 * 5 + a * 5) = 3(6 + a)
(20 + 5a) = 3(6 + a)
20 + 5a = (6 * 3 + a * 3)
20 + 5a = (18 + 3a)

Solving
20 + 5a = 18 + 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.
20 + 5a + -3a = 18 + 3a + -3a

Combine like terms: 5a + -3a = 2a
20 + 2a = 18 + 3a + -3a

Combine like terms: 3a + -3a = 0
20 + 2a = 18 + 0
20 + 2a = 18

Add '-20' to each side of the equation.
20 + -20 + 2a = 18 + -20

Combine like terms: 20 + -20 = 0
0 + 2a = 18 + -20
2a = 18 + -20

Combine like terms: 18 + -20 = -2
2a = -2

Divide each side by '2'.
a = -1

Simplifying
a = -1