Solve sqrt{3}(2.7-x)=27

$$\sqrt { 3 } ( 2.7 - x ) = 27$$

Solve for x

$$x=2.7-9\sqrt{3}\approx -12.888457268$$

Steps for Solving Linear Equation

Use the distributive property to multiply \sqrt{3} by 2.7-x.

$$2.7\sqrt{3}-\sqrt{3}x=27$$

Subtract 2.7\sqrt{3} from both sides.

$$-\sqrt{3}x=27-2.7\sqrt{3}$$

The equation is in standard form.

$$\left(-\sqrt{3}\right)x=-\frac{27\sqrt{3}}{10}+27$$

Divide both sides by -\sqrt{3}.

$$\frac{\left(-\sqrt{3}\right)x}{-\sqrt{3}}=\frac{-\frac{27\sqrt{3}}{10}+27}{-\sqrt{3}}$$

Dividing by -\sqrt{3} undoes the multiplication by -\sqrt{3}.

$$x=\frac{-\frac{27\sqrt{3}}{10}+27}{-\sqrt{3}}$$

Divide 27-\frac{27\sqrt{3}}{10} by -\sqrt{3}.

$$x=\frac{27}{10}-9\sqrt{3}$$