2a+3(2a+1)=5

Solution for 2a+3(2a+1)=5 equation:

Simplifying
2a + 3(2a + 1) = 5

Reorder the terms:
2a + 3(1 + 2a) = 5
2a + (1 * 3 + 2a * 3) = 5
2a + (3 + 6a) = 5

Reorder the terms:
3 + 2a + 6a = 5

Combine like terms: 2a + 6a = 8a
3 + 8a = 5

Solving
3 + 8a = 5

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 8a = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 8a = 5 + -3
8a = 5 + -3

Combine like terms: 5 + -3 = 2
8a = 2

Divide each side by '8'.
a = 0.25

Simplifying
a = 0.25