Solve 7/2m=5m-8/5

$$\frac { 7 } { 2 } m = 5 m - \frac { 8 } { 5 }$$

Solve for m

$$m = \frac{16}{15} = 1\frac{1}{15} \approx 1.066666667$$

Steps for Solving Linear Equation

Subtract 5m from both sides.

$$\frac{7}{2}m-5m=-\frac{8}{5}$$

Combine \frac{7}{2}m and -5m to get -\frac{3}{2}m.

$$-\frac{3}{2}m=-\frac{8}{5}$$

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

$$m=-\frac{8}{5}\left(-\frac{2}{3}\right)$$

Multiply -\frac{8}{5} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$m=\frac{-8\left(-2\right)}{5\times 3}$$

Do the multiplications in the fraction \frac{-8\left(-2\right)}{5\times 3}.

$$m=\frac{16}{15}$$