# Solving Equations by Using Addition and Subtraction

## Fact Sheet

## Practice Questions

**Question #1:**

\(2x+13=41\)

**Answer:**

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:**

\(8x-29=14\)

**Answer:**

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:**

\(41-2x=19\)

**Answer:**

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:**

\(21+13-x=3x-6\)

**Answer:**

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:**

\(x-17+11=21-5\)

**Answer:**

The correct answer is \(x=22\).

\(x-17+11=21-5\)

The first thing to do with this equation is combine like terms.

\(x-6=16\)

Then, add 6 to both sides.

\(x=22\)