Solve 2m-5m-1/3+7-m/2=5

$$2 m - \frac { 5 m - 1 } { 3 } + \frac { 7 - m } { 2 } = 5$$

Solve for m

$$m=-7$$

Steps for Solving Linear Equation

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

$$12m-2\left(5m-1\right)+3\left(7-m\right)=30$$

Use the distributive property to multiply -2 by 5m-1.

$$12m-10m+2+3\left(7-m\right)=30$$

Combine 12m and -10m to get 2m.

$$2m+2+3\left(7-m\right)=30$$

Use the distributive property to multiply 3 by 7-m.

$$2m+2+21-3m=30$$

Add 2 and 21 to get 23.

$$2m+23-3m=30$$

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

$$-m+23=30$$

Subtract 23 from both sides.

$$-m=30-23$$

Subtract 23 from 30 to get 7.

$$-m=7$$

Multiply both sides by -1.

$$m=-7$$