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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$2\left(3-5\sqrt{x}\right)-5\left(x-2\sqrt{x}\right)-x=0$$

Use the distributive property to multiply 2 by 3-5\sqrt{x}.

$$6-10\sqrt{x}-5\left(x-2\sqrt{x}\right)-x=0$$

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

$$6-10\sqrt{x}-5x+10\sqrt{x}-x=0$$

Combine -10\sqrt{x} and 10\sqrt{x} to get 0.

$$6-5x-x=0$$

Combine -5x and -x to get -6x.

$$6-6x=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-6x=-6$$

Divide both sides by -6.

$$x=\frac{-6}{-6}$$

Divide -6 by -6 to get 1.

$$x=1$$