2(a-3)=2(4a-2a)

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

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

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

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

Remove parenthesis around (2a)
-6 + 2a = 2 * 2a

Multiply 2 * 2
-6 + 2a = 4a

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

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

Combine like terms: 4a + -4a = 0
-6 + -2a = 0

Add '6' to each side of the equation.
-6 + 6 + -2a = 0 + 6

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

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

Divide each side by '-2'.
a = -3

Simplifying
a = -3