Solve 7(n+2)-3=25-(3n+4)

$$7 ( n + 2 ) - 3 = 25 - ( 3 n + 4 )$$

Solve for n

$$n=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by n+2.

$$7n+14-3=25-\left(3n+4\right)$$

Subtract 3 from 14 to get 11.

$$7n+11=25-\left(3n+4\right)$$

To find the opposite of 3n+4, find the opposite of each term.

$$7n+11=25-3n-4$$

Subtract 4 from 25 to get 21.

$$7n+11=21-3n$$

Add 3n to both sides.

$$7n+11+3n=21$$

Combine 7n and 3n to get 10n.

$$10n+11=21$$

Subtract 11 from both sides.

$$10n=21-11$$

Subtract 11 from 21 to get 10.

$$10n=10$$

Divide both sides by 10.

$$n=\frac{10}{10}$$

Divide 10 by 10 to get 1.

$$n=1$$