Solve 127.95+(127.95-x)sqrt{24.03}=0.9

$$127.95 + ( 127.95 - x ) \sqrt { 24.03 } = 0.9$$

Solve for x

$$x=\frac{847\sqrt{267}}{534}+127.95\approx 153.867779099$$

Steps for Solving Linear Equation

Use the distributive property to multiply 127.95-x by \sqrt{24.03}.

$$127.95+127.95\sqrt{24.03}-x\sqrt{24.03}=0.9$$

Subtract 127.95 from both sides.

$$127.95\sqrt{24.03}-x\sqrt{24.03}=0.9-127.95$$

Subtract 127.95 from 0.9 to get -127.05.

$$127.95\sqrt{24.03}-x\sqrt{24.03}=-127.05$$

Subtract 127.95\sqrt{24.03} from both sides.

$$-x\sqrt{24.03}=-127.05-127.95\sqrt{24.03}$$

The equation is in standard form.

$$\left(-\sqrt{24.03}\right)x=\frac{-2559\sqrt{24.03}-2541}{20}$$

Divide both sides by -\sqrt{24.03}.

$$\frac{\left(-\sqrt{24.03}\right)x}{-\sqrt{24.03}}=\frac{-\frac{7677\sqrt{267}}{200}-127.05}{-\sqrt{24.03}}$$

Dividing by -\sqrt{24.03} undoes the multiplication by -\sqrt{24.03}.

$$x=\frac{-\frac{7677\sqrt{267}}{200}-127.05}{-\sqrt{24.03}}$$

Divide -127.05-\frac{7677\sqrt{267}}{200} by -\sqrt{24.03}.

$$x=\frac{847\sqrt{267}}{534}+\frac{2559}{20}$$