Solve 5(x+18/60)=14x

$$5 ( x + \frac { 18 } { 60 } ) = 14 x$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Reduce the fraction \frac{18}{60} to lowest terms by extracting and canceling out 6.

$$5\left(x+\frac{3}{10}\right)=14x$$

Use the distributive property to multiply 5 by x+\frac{3}{10}.

$$5x+5\times \frac{3}{10}=14x$$

Express 5\times \frac{3}{10} as a single fraction.

$$5x+\frac{5\times 3}{10}=14x$$

Multiply 5 and 3 to get 15.

$$5x+\frac{15}{10}=14x$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$5x+\frac{3}{2}=14x$$

Subtract 14x from both sides.

$$5x+\frac{3}{2}-14x=0$$

Combine 5x and -14x to get -9x.

$$-9x+\frac{3}{2}=0$$

Subtract \frac{3}{2} from both sides. Anything subtracted from zero gives its negation.

$$-9x=-\frac{3}{2}$$

Divide both sides by -9.

$$x=\frac{-\frac{3}{2}}{-9}$$

Express \frac{-\frac{3}{2}}{-9} as a single fraction.

$$x=\frac{-3}{2\left(-9\right)}$$

Multiply 2 and -9 to get -18.

$$x=\frac{-3}{-18}$$

Reduce the fraction \frac{-3}{-18} to lowest terms by extracting and canceling out -3.

$$x=\frac{1}{6}$$