a+2(3-a)=2a+3

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

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

Reorder the terms:
6 + a + -2a = 2a + 3

Combine like terms: a + -2a = -1a
6 + -1a = 2a + 3

Reorder the terms:
6 + -1a = 3 + 2a

Solving
6 + -1a = 3 + 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.
6 + -1a + -2a = 3 + 2a + -2a

Combine like terms: -1a + -2a = -3a
6 + -3a = 3 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + -3a = 3 + 0
6 + -3a = 3

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

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

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

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

Simplifying
a = 1