Solve 3/8(2x-8/3x)=21

$$\frac { 3 } { 8 } ( 2 x - \frac { 8 } { 3 } x ) = 21$$

Solve for x

$$x=-84$$

Steps for Solving Linear Equation

Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.

$$2x-\frac{8}{3}x=21\times \frac{8}{3}$$

Express 21\times \frac{8}{3} as a single fraction.

$$2x-\frac{8}{3}x=\frac{21\times 8}{3}$$

Multiply 21 and 8 to get 168.

$$2x-\frac{8}{3}x=\frac{168}{3}$$

Divide 168 by 3 to get 56.

$$2x-\frac{8}{3}x=56$$

Combine 2x and -\frac{8}{3}x to get -\frac{2}{3}x.

$$-\frac{2}{3}x=56$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$x=56\left(-\frac{3}{2}\right)$$

Express 56\left(-\frac{3}{2}\right) as a single fraction.

$$x=\frac{56\left(-3\right)}{2}$$

Multiply 56 and -3 to get -168.

$$x=\frac{-168}{2}$$

Divide -168 by 2 to get -84.

$$x=-84$$