X*x+x=2x

Solution for X*x+x=2x equation:

Simplifying
X * x + x = 2x

Multiply X * x
xX + x = 2x

Reorder the terms:
x + xX = 2x

Solving
x + xX = 2x

Solving for variable 'x'.

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

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

Combine like terms: x + -2x = -1x
-1x + xX = 2x + -2x

Combine like terms: 2x + -2x = 0
-1x + xX = 0

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

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 '(-1 + X)' equal to zero and attempt to solve:

Simplifying
-1 + X = 0

Solving
-1 + X = 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 + X = 0 + 1

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

Combine like terms: 0 + 1 = 1
X = 1

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

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

Simplifying
0 = 1 + -1X

The solution to this equation could not be determined.

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