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

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

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

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

Reorder the terms:
6 + 3a = 2(5 + a)
6 + 3a = (5 * 2 + a * 2)
6 + 3a = (10 + 2a)

Solving
6 + 3a = 10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + 3a + -2a = 10 + 2a + -2a

Combine like terms: 3a + -2a = 1a
6 + 1a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 1a = 10 + 0
6 + 1a = 10

Add '-6' to each side of the equation.
6 + -6 + 1a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 10 + -6
1a = 10 + -6

Combine like terms: 10 + -6 = 4
1a = 4

Divide each side by '1'.
a = 4

Simplifying
a = 4