# Solve for x sin(2x)=2sin(x)cos(x)

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Move to the left side of the equation by subtracting it from both sides.
Simplify each term.
Apply the sine doubleangle identity.
Multiply by .
Remove parentheses around .
Subtract from .
Move to the left side of the equation by subtracting it from both sides.
Simplify each term.
Apply the sine doubleangle identity.
Multiply by .
Remove parentheses around .
Subtract from .
Apply the sine doubleangle identity.
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Since , the equation will always be true for any value of .
All real numbers
Solve for x sin(2x)=2sin(x)cos(x)