2(x-3)=2(x+5)

Solution for 2(x-3)=2(x+5) equation:

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

Reorder the terms:
2(-3 + x) = 2(x + 5)
(-3 * 2 + x * 2) = 2(x + 5)
(-6 + 2x) = 2(x + 5)

Reorder the terms:
-6 + 2x = 2(5 + x)
-6 + 2x = (5 * 2 + x * 2)
-6 + 2x = (10 + 2x)

Add '-2x' to each side of the equation.
-6 + 2x + -2x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 0 = 10 + 2x + -2x
-6 = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 = 10 + 0
-6 = 10

Solving
-6 = 10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.