Solve m-5/5=2m+6/2

$$\frac { m - 5 } { 5 } = \frac { 2 m + 6 } { 2 }$$

Solve for m

$$m=-5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2\left(m-5\right)=5\left(2m+6\right)$$

Use the distributive property to multiply 2 by m-5.

$$2m-10=5\left(2m+6\right)$$

Use the distributive property to multiply 5 by 2m+6.

$$2m-10=10m+30$$

Subtract 10m from both sides.

$$2m-10-10m=30$$

Combine 2m and -10m to get -8m.

$$-8m-10=30$$

Add 10 to both sides.

$$-8m=30+10$$

Add 30 and 10 to get 40.

$$-8m=40$$

Divide both sides by -8.

$$m=\frac{40}{-8}$$

Divide 40 by -8 to get -5.

$$m=-5$$