Solve 5(m+1)-3(2m+1)=4(5-m)

$$5 ( m + 1 ) - 3 ( 2 m + 1 ) = 4 ( 5 - m )$$

Solve for m

$$m=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by m+1.

$$5m+5-3\left(2m+1\right)=4\left(5-m\right)$$

Use the distributive property to multiply -3 by 2m+1.

$$5m+5-6m-3=4\left(5-m\right)$$

Combine 5m and -6m to get -m.

$$-m+5-3=4\left(5-m\right)$$

Subtract 3 from 5 to get 2.

$$-m+2=4\left(5-m\right)$$

Use the distributive property to multiply 4 by 5-m.

$$-m+2=20-4m$$

Add 4m to both sides.

$$-m+2+4m=20$$

Combine -m and 4m to get 3m.

$$3m+2=20$$

Subtract 2 from both sides.

$$3m=20-2$$

Subtract 2 from 20 to get 18.

$$3m=18$$

Divide both sides by 3.

$$m=\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$m=6$$