# Equations - Solving Equations with Variable on Both Sides

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

**Lesson:**

**Subject:**

**Description:**

**# of Problems:** 18

**# of Pages:** 2

**Answer Key?:** No

### Sample Problems from Worksheet

(Worksheet pictures and diagrams not shown)

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?