Solve 4/25m=2m-10

$$\frac { 4 } { 25 } m = 2 m - 10$$

Solve for m

$$m = \frac{125}{23} = 5\frac{10}{23} \approx 5.434782609$$

Steps for Solving Linear Equation

Subtract 2m from both sides.

$$\frac{4}{25}m-2m=-10$$

Combine \frac{4}{25}m and -2m to get -\frac{46}{25}m.

$$-\frac{46}{25}m=-10$$

Multiply both sides by -\frac{25}{46}, the reciprocal of -\frac{46}{25}.

$$m=-10\left(-\frac{25}{46}\right)$$

Express -10\left(-\frac{25}{46}\right) as a single fraction.

$$m=\frac{-10\left(-25\right)}{46}$$

Multiply -10 and -25 to get 250.

$$m=\frac{250}{46}$$

Reduce the fraction \frac{250}{46} to lowest terms by extracting and canceling out 2.

$$m=\frac{125}{23}$$