2(4a+3)+3(2a+1)=23

Solution for 2(4a+3)+3(2a+1)=23 equation:

Simplifying
2(4a + 3) + 3(2a + 1) = 23

Reorder the terms:
2(3 + 4a) + 3(2a + 1) = 23
(3 * 2 + 4a * 2) + 3(2a + 1) = 23
(6 + 8a) + 3(2a + 1) = 23

Reorder the terms:
6 + 8a + 3(1 + 2a) = 23
6 + 8a + (1 * 3 + 2a * 3) = 23
6 + 8a + (3 + 6a) = 23

Reorder the terms:
6 + 3 + 8a + 6a = 23

Combine like terms: 6 + 3 = 9
9 + 8a + 6a = 23

Combine like terms: 8a + 6a = 14a
9 + 14a = 23

Solving
9 + 14a = 23

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -9 + 14a = 23 + -9

Combine like terms: 9 + -9 = 0
0 + 14a = 23 + -9
14a = 23 + -9

Combine like terms: 23 + -9 = 14
14a = 14

Divide each side by '14'.
a = 1

Simplifying
a = 1