Solve 4x-2(x-sqrt{5})=3x-6sqrt{5}

$$4 x - 2 ( x - \sqrt { 5 } ) = 3 x - 6 \sqrt { 5 }$$

Solve for x

$$x=8\sqrt{5}\approx 17.88854382$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-\sqrt{5}.

$$4x-2x+2\sqrt{5}=3x-6\sqrt{5}$$

Combine 4x and -2x to get 2x.

$$2x+2\sqrt{5}=3x-6\sqrt{5}$$

Subtract 3x from both sides.

$$2x+2\sqrt{5}-3x=-6\sqrt{5}$$

Combine 2x and -3x to get -x.

$$-x+2\sqrt{5}=-6\sqrt{5}$$

Subtract 2\sqrt{5} from both sides.

$$-x=-6\sqrt{5}-2\sqrt{5}$$

Combine -6\sqrt{5} and -2\sqrt{5} to get -8\sqrt{5}.

$$-x=-8\sqrt{5}$$

Divide both sides by -1.

$$\frac{-x}{-1}=-\frac{8\sqrt{5}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=-\frac{8\sqrt{5}}{-1}$$

Divide -8\sqrt{5} by -1.

$$x=8\sqrt{5}$$