Solve m-1/5-m/2=m+9/3

$$\frac { m - 1 } { 5 } - \frac { m } { 2 } = \frac { m + 9 } { 3 }$$

Solve for m

$$m = -\frac{96}{19} = -5\frac{1}{19} \approx -5.052631579$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,2,3.

$$6\left(m-1\right)-15m=10\left(m+9\right)$$

Use the distributive property to multiply 6 by m-1.

$$6m-6-15m=10\left(m+9\right)$$

Combine 6m and -15m to get -9m.

$$-9m-6=10\left(m+9\right)$$

Use the distributive property to multiply 10 by m+9.

$$-9m-6=10m+90$$

Subtract 10m from both sides.

$$-9m-6-10m=90$$

Combine -9m and -10m to get -19m.

$$-19m-6=90$$

Add 6 to both sides.

$$-19m=90+6$$

Add 90 and 6 to get 96.

$$-19m=96$$

Divide both sides by -19.

$$m=\frac{96}{-19}$$

Fraction \frac{96}{-19} can be rewritten as -\frac{96}{19} by extracting the negative sign.

$$m=-\frac{96}{19}$$