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

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

Simplifying
3(1 + 2a) = 2(5 + a)
(1 * 3 + 2a * 3) = 2(5 + a)
(3 + 6a) = 2(5 + a)
3 + 6a = (5 * 2 + a * 2)
3 + 6a = (10 + 2a)

Solving
3 + 6a = 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.
3 + 6a + -2a = 10 + 2a + -2a

Combine like terms: 6a + -2a = 4a
3 + 4a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
3 + 4a = 10 + 0
3 + 4a = 10

Add '-3' to each side of the equation.
3 + -3 + 4a = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 4a = 10 + -3
4a = 10 + -3

Combine like terms: 10 + -3 = 7
4a = 7

Divide each side by '4'.
a = 1.75

Simplifying
a = 1.75