2x=2x*a

Solution for 2x=2x*a equation:

Simplifying
2x = 2x * a

Multiply x * a
2x = 2ax

Solving
2x = 2ax

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

Combine like terms: 2ax + -2ax = 0
-2ax + 2x = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1a + 1) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(-1a + 1)' equal to zero and attempt to solve:

Simplifying
-1a + 1 = 0

Reorder the terms:
1 + -1a = 0

Solving
1 + -1a = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1

Combine like terms: 0 + -1 = -1
-1a = -1

Add 'a' to each side of the equation.
-1a + a = -1 + a

Combine like terms: -1a + a = 0
0 = -1 + a

Simplifying
0 = -1 + a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}