Solve frac{-2+sqrt{3}}{2}=-2x

$$\frac{ -2+ \sqrt{ 3 } }{ 2 } =-2x$$

Solve for x

$$x=-\frac{\sqrt{3}}{4}+\frac{1}{2}\approx 0.066987298$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$-2+\sqrt{3}=-4x$$

Swap sides so that all variable terms are on the left hand side.

$$-4x=-2+\sqrt{3}$$

The equation is in standard form.

$$-4x=\sqrt{3}-2$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{\sqrt{3}-2}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{\sqrt{3}-2}{-4}$$

Divide -2+\sqrt{3} by -4.

$$x=-\frac{\sqrt{3}}{4}+\frac{1}{2}$$