2(a-3)=2(5-2a)

Solution for 2(a-3)=2(5-2a) equation:

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

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

Solving
-6 + 2a = 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 + 2a + 4a = 10 + -4a + 4a

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

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

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

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

Combine like terms: 10 + 6 = 16
6a = 16

Divide each side by '6'.
a = 2.666666667

Simplifying
a = 2.666666667