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

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

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

Reorder the terms:
6 + 3a = 2(5 + 2a)
6 + 3a = (5 * 2 + 2a * 2)
6 + 3a = (10 + 4a)

Solving
6 + 3a = 10 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
6 + 3a + -4a = 10 + 4a + -4a

Combine like terms: 3a + -4a = -1a
6 + -1a = 10 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + -1a = 10 + 0
6 + -1a = 10

Add '-6' to each side of the equation.
6 + -6 + -1a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 10 + -6
-1a = 10 + -6

Combine like terms: 10 + -6 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4