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

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

Solve for n

$$n=5$$

Steps for Solving Linear Equation

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

$$3n+6+4=5\left(n-1\right)+n$$

Add 6 and 4 to get 10.

$$3n+10=5\left(n-1\right)+n$$

Use the distributive property to multiply 5 by n-1.

$$3n+10=5n-5+n$$

Combine 5n and n to get 6n.

$$3n+10=6n-5$$

Subtract 6n from both sides.

$$3n+10-6n=-5$$

Combine 3n and -6n to get -3n.

$$-3n+10=-5$$

Subtract 10 from both sides.

$$-3n=-5-10$$

Subtract 10 from -5 to get -15.

$$-3n=-15$$

Divide both sides by -3.

$$n=\frac{-15}{-3}$$

Divide -15 by -3 to get 5.

$$n=5$$