# Equations - Solving Equations with Variable on Both Sides

Worksheet (Algebra)

## Equations - Solving Equations with Variable on Both Sides Worksheet

This worksheet contains 15 problems on solving equations with the variable on both sides and 3 word problems where students must write and solve an equation for a given situation.

## Lesson:

3. To solve equations with the variable on both sides.

18

2

No

## Samples:

Algebra
Equations with Variables on Both Sides

Solve each equation. Check your answers. If appropriate, write identity or no solution.
1. 7 – 2n = n – 14

5. 8z – 7 = 3z – 7 + 5z

8. 2(6 – 4d) = 25 – 9d

15. 6 – 4d = 16 – 9d

Write an equation for each situation. Then solve and check your answer.

16. Hans needs to rent a moving truck. Suppose Company A charges a rate of \$40 per day and Company B charges a \$60 fee plus \$20 a day. For what number of days is the cost the same?

17. Suppose a video store charges nonmembers \$4 to rent each video. A store membership costs \$21 and members pay only \$2.50 to rent each video. For what number of videos is the cost the same?

18. Suppose your club is selling candles to raise money. It costs \$100 to rent a booth from which to sell the candles. If the candles cost your club \$1 each and are sold for \$5, how many candles must be sold to equal your expenses?