Solve m-2/-3=2m+3/2

$$\frac { m - 2 } { - 3 } = \frac { 2 m + 3 } { 2 }$$

Solve for m

$$m=-\frac{5}{8}=-0.625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of -3,2.

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

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

$$-2m+4=3\left(2m+3\right)$$

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

$$-2m+4=6m+9$$

Subtract 6m from both sides.

$$-2m+4-6m=9$$

Combine -2m and -6m to get -8m.

$$-8m+4=9$$

Subtract 4 from both sides.

$$-8m=9-4$$

Subtract 4 from 9 to get 5.

$$-8m=5$$

Divide both sides by -8.

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

Fraction \frac{5}{-8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

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