2(a-3)=4a-(2a+6)

Solution for 2(a-3)=4a-(2a+6) equation:

Simplifying
2(a + -3) = 4a + -1(2a + 6)

Reorder the terms:
2(-3 + a) = 4a + -1(2a + 6)
(-3 * 2 + a * 2) = 4a + -1(2a + 6)
(-6 + 2a) = 4a + -1(2a + 6)

Reorder the terms:
-6 + 2a = 4a + -1(6 + 2a)
-6 + 2a = 4a + (6 * -1 + 2a * -1)
-6 + 2a = 4a + (-6 + -2a)

Reorder the terms:
-6 + 2a = -6 + 4a + -2a

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.