Solve left((9-9/5x-9/2)+(-x)right)2=16

$$\left( (9- \frac{ 9 }{ 5 } x- \frac{ 9 }{ 2 } )+(-x) \right) 2 = 16$$

Solve for x

$$x = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$9-\frac{9}{5}x-\frac{9}{2}-x=\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$9-\frac{9}{5}x-\frac{9}{2}-x=8$$

Convert 9 to fraction \frac{18}{2}.

$$\frac{18}{2}-\frac{9}{5}x-\frac{9}{2}-x=8$$

Since \frac{18}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-9}{2}-\frac{9}{5}x-x=8$$

Subtract 9 from 18 to get 9.

$$\frac{9}{2}-\frac{9}{5}x-x=8$$

Subtract \frac{9}{2} from both sides.

$$-\frac{9}{5}x-x=8-\frac{9}{2}$$

Convert 8 to fraction \frac{16}{2}.

$$-\frac{9}{5}x-x=\frac{16}{2}-\frac{9}{2}$$

Since \frac{16}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{9}{5}x-x=\frac{16-9}{2}$$

Subtract 9 from 16 to get 7.

$$-\frac{9}{5}x-x=\frac{7}{2}$$

Combine -\frac{9}{5}x and -x to get -\frac{14}{5}x.

$$-\frac{14}{5}x=\frac{7}{2}$$

Multiply both sides by -\frac{5}{14}, the reciprocal of -\frac{14}{5}.

$$x=\frac{7}{2}\left(-\frac{5}{14}\right)$$

Multiply \frac{7}{2} times -\frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\left(-5\right)}{2\times 14}$$

Do the multiplications in the fraction \frac{7\left(-5\right)}{2\times 14}.

$$x=\frac{-35}{28}$$

Reduce the fraction \frac{-35}{28} to lowest terms by extracting and canceling out 7.

$$x=-\frac{5}{4}$$