Solve 6*(x+5)=10*1/15

$$6 \times (x+5)=10 \times \frac{ 1 }{ 15 }$$

Solve for x

$$x = -\frac{44}{9} = -4\frac{8}{9} \approx -4.888888889$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+5.

$$6x+30=10\times \frac{1}{15}$$

Multiply 10 and \frac{1}{15} to get \frac{10}{15}.

$$6x+30=\frac{10}{15}$$

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

$$6x+30=\frac{2}{3}$$

Subtract 30 from both sides.

$$6x=\frac{2}{3}-30$$

Convert 30 to fraction \frac{90}{3}.

$$6x=\frac{2}{3}-\frac{90}{3}$$

Since \frac{2}{3} and \frac{90}{3} have the same denominator, subtract them by subtracting their numerators.

$$6x=\frac{2-90}{3}$$

Subtract 90 from 2 to get -88.

$$6x=-\frac{88}{3}$$

Divide both sides by 6.

$$x=\frac{-\frac{88}{3}}{6}$$

Express \frac{-\frac{88}{3}}{6} as a single fraction.

$$x=\frac{-88}{3\times 6}$$

Multiply 3 and 6 to get 18.

$$x=\frac{-88}{18}$$

Reduce the fraction \frac{-88}{18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{44}{9}$$