6+5a=3(1+2a)

Solution for 6+5a=3(1+2a) equation:

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

Solving
6 + 5a = 3 + 6a

Solving for variable 'a'.

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

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

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

Combine like terms: 6a + -6a = 0
6 + -1a = 3 + 0
6 + -1a = 3

Add '-6' to each side of the equation.
6 + -6 + -1a = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 3 + -6
-1a = 3 + -6

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

Divide each side by '-1'.
a = 3

Simplifying
a = 3