Solve m-2/5=m+1/3quad

$$\frac { m - 2 } { 5 } = \frac { m + 1 } { 3 } \quad$$

Solve for m

$$m = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(m-2\right)=5\left(m+1\right)$$

Use the distributive property to multiply 3 by m-2.

$$3m-6=5\left(m+1\right)$$

Use the distributive property to multiply 5 by m+1.

$$3m-6=5m+5$$

Subtract 5m from both sides.

$$3m-6-5m=5$$

Combine 3m and -5m to get -2m.

$$-2m-6=5$$

Add 6 to both sides.

$$-2m=5+6$$

Add 5 and 6 to get 11.

$$-2m=11$$

Divide both sides by -2.

$$m=\frac{11}{-2}$$

Fraction \frac{11}{-2} can be rewritten as -\frac{11}{2} by extracting the negative sign.

$$m=-\frac{11}{2}$$