3(2a+4)+2(a+3)=10

Solution for 3(2a+4)+2(a+3)=10 equation:

Simplifying
3(2a + 4) + 2(a + 3) = 10

Reorder the terms:
3(4 + 2a) + 2(a + 3) = 10
(4 * 3 + 2a * 3) + 2(a + 3) = 10
(12 + 6a) + 2(a + 3) = 10

Reorder the terms:
12 + 6a + 2(3 + a) = 10
12 + 6a + (3 * 2 + a * 2) = 10
12 + 6a + (6 + 2a) = 10

Reorder the terms:
12 + 6 + 6a + 2a = 10

Combine like terms: 12 + 6 = 18
18 + 6a + 2a = 10

Combine like terms: 6a + 2a = 8a
18 + 8a = 10

Solving
18 + 8a = 10

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + -18 + 8a = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 8a = 10 + -18
8a = 10 + -18

Combine like terms: 10 + -18 = -8
8a = -8

Divide each side by '8'.
a = -1

Simplifying
a = -1