x=sin(2x)

Solution for x=sin(2x) equation:

Simplifying
x = sin(2x)

Remove parenthesis around (2x)
x = ins * 2x

Reorder the terms for easier multiplication:
x = 2ins * x

Multiply ins * x
x = 2insx

Solving
x = 2insx

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2ins + 1) = 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 '(-2ins + 1)' equal to zero and attempt to solve:

Simplifying
-2ins + 1 = 0

Reorder the terms:
1 + -2ins = 0

Solving
1 + -2ins = 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 + -2ins = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2ins = 0 + -1
-2ins = 0 + -1

Combine like terms: 0 + -1 = -1
-2ins = -1

Add '2ins' to each side of the equation.
-2ins + 2ins = -1 + 2ins

Combine like terms: -2ins + 2ins = 0
0 = -1 + 2ins

Simplifying
0 = -1 + 2ins

The solution to this equation could not be determined.

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