# Solving Equations by Using Addition and Subtraction

Solving Equations Using Addition and Subtraction

## Practice Questions

Question #1:

$$2x+13=41$$

$$x=27$$
$$x=7$$
$$x=14$$
$$x=28$$

The correct answer is $$x=14$$.
$$2x+13=41$$
The first thing to do with this equation is subtract 13 from both sides.
$$2x=28$$
Then, divide both sides by 2.
$$x=14$$

Question #2:

$$8x-29=14$$

$$x=-1$$
$$x=5$$
$$x=-1\frac{7}{8}$$
$$x=5\frac{3}{8}$$

The correct answer is $$x=5\frac{3}{8}$$.
$$8x-29=14$$
The first thing to do with this equation is add 29 to both sides.
$$8x=43$$
Then, divide both sides by 8.
$$x=\frac{43}{8}$$
Finally, turn $$\frac{43}{8}$$ into a mixed number.
$$x=5\frac{3}{8}$$

Question #3:

$$41-2x=19$$

$$x=30$$
$$x=11$$
$$x=-30$$
$$x=-11$$

The correct answer is $$x=11$$.
$$41-2x=19$$
The first thing to do with this equation is subtract 41 from both sides.
$$-2x=-22$$
Then, divide both sides by -2.
$$x=11$$

Question #4:

$$21+13-x=3x-6$$

$$x=10$$
$$x=11$$
$$x=14$$
$$x=9$$

The correct answer is $$x=10$$.
$$21+13-x=3x-6$$
The first thing to do with this equation is combine like terms.
$$34-x=3x-6$$
Next, add 6 to both sides.
$$40=4x$$
Finally, divide both sides by 4.
$$10=x$$

Question #5:

$$x-17+11=21-5$$

$$x=22$$
$$x=10$$
$$x=14$$
$$x=27$$
The correct answer is $$x=22$$.
$$x-17+11=21-5$$
$$x-6=16$$
$$x=22$$