4a+2=2(a+3)

Solution for 4a+2=2(a+3) equation:

Simplifying
4a + 2 = 2(a + 3)

Reorder the terms:
2 + 4a = 2(a + 3)

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

Solving
2 + 4a = 6 + 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.
2 + 4a + -2a = 6 + 2a + -2a

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

Combine like terms: 2a + -2a = 0
2 + 2a = 6 + 0
2 + 2a = 6

Add '-2' to each side of the equation.
2 + -2 + 2a = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 2a = 6 + -2
2a = 6 + -2

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

Divide each side by '2'.
a = 2

Simplifying
a = 2