Solve 3m-2(2m-5)=2(m+3)-8

$$3 m - 2 ( 2 m - 5 ) = 2 ( m + 3 ) - 8$$

Solve for m

$$m=4$$

Steps for Solving Linear Equation

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

$$3m-4m+10=2\left(m+3\right)-8$$

Combine 3m and -4m to get -m.

$$-m+10=2\left(m+3\right)-8$$

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

$$-m+10=2m+6-8$$

Subtract 8 from 6 to get -2.

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

Subtract 2m from both sides.

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

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

$$-3m+10=-2$$

Subtract 10 from both sides.

$$-3m=-2-10$$

Subtract 10 from -2 to get -12.

$$-3m=-12$$

Divide both sides by -3.

$$m=\frac{-12}{-3}$$

Divide -12 by -3 to get 4.

$$m=4$$