Solve 5m-1/m+1+4=0

$$\frac { 5 m - 1 } { m + 1 } + 4 = 0$$

Solve for m

$$m=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Variable m cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by m+1.

$$5m-1+\left(m+1\right)\times 4=0$$

Use the distributive property to multiply m+1 by 4.

$$5m-1+4m+4=0$$

Combine 5m and 4m to get 9m.

$$9m-1+4=0$$

Add -1 and 4 to get 3.

$$9m+3=0$$

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$9m=-3$$

Divide both sides by 9.

$$m=\frac{-3}{9}$$

Reduce the fraction \frac{-3}{9} to lowest terms by extracting and canceling out 3.

$$m=-\frac{1}{3}$$