Solve -35/10-3m=5

$$\frac { - 35 } { 10 - 3 m } = 5$$

Solve for m

$$m = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

Steps for Solving Linear Equation

Variable m cannot be equal to \frac{10}{3} since division by zero is not defined. Multiply both sides of the equation by -3m+10.

$$-35=5\left(-3m+10\right)$$

Use the distributive property to multiply 5 by -3m+10.

$$-35=-15m+50$$

Swap sides so that all variable terms are on the left hand side.

$$-15m+50=-35$$

Subtract 50 from both sides.

$$-15m=-35-50$$

Subtract 50 from -35 to get -85.

$$-15m=-85$$

Divide both sides by -15.

$$m=\frac{-85}{-15}$$

Reduce the fraction \frac{-85}{-15} to lowest terms by extracting and canceling out -5.

$$m=\frac{17}{3}$$