Solve 16/5-x=3/5x

$$\frac { 16 } { 5 } - x = \frac { 3 } { 5 } x$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Subtract \frac{3}{5}x from both sides.

$$\frac{16}{5}-x-\frac{3}{5}x=0$$

Combine -x and -\frac{3}{5}x to get -\frac{8}{5}x.

$$\frac{16}{5}-\frac{8}{5}x=0$$

Subtract \frac{16}{5} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{8}{5}x=-\frac{16}{5}$$

Multiply both sides by -\frac{5}{8}, the reciprocal of -\frac{8}{5}.

$$x=-\frac{16}{5}\left(-\frac{5}{8}\right)$$

Multiply -\frac{16}{5} times -\frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-16\left(-5\right)}{5\times 8}$$

Do the multiplications in the fraction \frac{-16\left(-5\right)}{5\times 8}.

$$x=\frac{80}{40}$$

Divide 80 by 40 to get 2.

$$x=2$$