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

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

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

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

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

Solving
3 + 6a = 10 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
3 + 6a + -5a = 10 + 5a + -5a

Combine like terms: 6a + -5a = 1a
3 + 1a = 10 + 5a + -5a

Combine like terms: 5a + -5a = 0
3 + 1a = 10 + 0
3 + 1a = 10

Add '-3' to each side of the equation.
3 + -3 + 1a = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = 10 + -3
1a = 10 + -3

Combine like terms: 10 + -3 = 7
1a = 7

Divide each side by '1'.
a = 7

Simplifying
a = 7