1. Multi-Step Equation Word Problems

2. Example Number 1
Three times a number is the same as five more than twice the number. Find the number.
3x = 2x + 5

3. Example Number 2
Four times a number plus five times the number is the same as ten more than eight times the number. Find the number.
4x + 5x = 8x + 10

4. Example Number 3
Mari can buy a video game console for $72.45 and rent a game for $7.95 per week, or she can rent a console and the same game for a total of $22.44 per week. How many weeks would Mari need to rent both the video game and the console to pay as much as she would if she had bought the console and rented the game instead?
x = 22.44x

5. Example Number 4
Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with $570 and withdrew $25 weekly. In how many weeks will their accounts be equal?
710 – 35x = 570 – 25x

6. Example Number 5
The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria’s installation price is $50 but the store charges $13 for each square yard. For what number of square yards of carpeting will the cost, including installation, be the same for both stores?
90 + 9x = x

7. Example Number 6
Prestige Car Rentals charges $44 per day plus 6¢ per mile to rent a mid-sized vehicle. Gateway Auto charges $35 per day plus 9¢ per mile for the same car. For what number of miles will both companies charge the same price?
x = x

8. Example Number 7
Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?
x = x

9. Example Number 8
A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans?
x = 50x