Solve 2x+5(9+8/6)=-9

$$2 x + 5 ( 9 + \frac { 8 } { 6 } ) = - 9$$

Solve for x

$$x = -\frac{91}{3} = -30\frac{1}{3} \approx -30.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$2x+5\left(9+\frac{4}{3}\right)=-9$$

Convert 9 to fraction \frac{27}{3}.

$$2x+5\left(\frac{27}{3}+\frac{4}{3}\right)=-9$$

Since \frac{27}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$2x+5\times \frac{27+4}{3}=-9$$

Add 27 and 4 to get 31.

$$2x+5\times \frac{31}{3}=-9$$

Express 5\times \frac{31}{3} as a single fraction.

$$2x+\frac{5\times 31}{3}=-9$$

Multiply 5 and 31 to get 155.

$$2x+\frac{155}{3}=-9$$

Subtract \frac{155}{3} from both sides.

$$2x=-9-\frac{155}{3}$$

Convert -9 to fraction -\frac{27}{3}.

$$2x=-\frac{27}{3}-\frac{155}{3}$$

Since -\frac{27}{3} and \frac{155}{3} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{-27-155}{3}$$

Subtract 155 from -27 to get -182.

$$2x=-\frac{182}{3}$$

Divide both sides by 2.

$$x=\frac{-\frac{182}{3}}{2}$$

Express \frac{-\frac{182}{3}}{2} as a single fraction.

$$x=\frac{-182}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{-182}{6}$$

Reduce the fraction \frac{-182}{6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{91}{3}$$