Solve -5/6(9+2x)=40

$$- \frac{ 5 }{ 6 } (9+2x)=40$$

Solve for x

$$x = -\frac{57}{2} = -28\frac{1}{2} = -28.5$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{6}{5}, the reciprocal of -\frac{5}{6}.

$$9+2x=40\left(-\frac{6}{5}\right)$$

Express 40\left(-\frac{6}{5}\right) as a single fraction.

$$9+2x=\frac{40\left(-6\right)}{5}$$

Multiply 40 and -6 to get -240.

$$9+2x=\frac{-240}{5}$$

Divide -240 by 5 to get -48.

$$9+2x=-48$$

Subtract 9 from both sides.

$$2x=-48-9$$

Subtract 9 from -48 to get -57.

$$2x=-57$$

Divide both sides by 2.

$$x=\frac{-57}{2}$$

Fraction \frac{-57}{2} can be rewritten as -\frac{57}{2} by extracting the negative sign.

$$x=-\frac{57}{2}$$