7-5 Variables on both sidesTo solve equations with variables on both sides you must get the variables terms on one side of the equal sign and the constants on the other.

Try some!

1.) 4r + 8 = 6r    2.) 3r + 24 = 2r -8

3.) -6y - 14 = 4y - 4   

Sometimes you need to collect like terms before you isolate the variable.

Try some!

1.) 3p + p + 4 = 2p +36   2.) -15 +2b +4b = -8b + 13

3.) 3y - y +16 = -y -5 

Sometimes you need to distribute before you isolate the variable.

1.)

2.)

Special Cases:

1.) 3x + 2 = 5x - 2x + 4

2.) 24a - 8 - 10a = -2(4-7a)

1. 4(3x - 10) = 10(x - 3)

2. 7x + 5 - 2x = 3x - 17

1.) Paul is looking at two vacation packages while planning a trip to Cancun, Mexico.

A.) In package A, round-trip airfare costs $350, and it costs $200 per night to stay at the resort. Write an expression to represent the total cost of package A. Be sure to identify what the variable represents.

2.) In the second vacation package, it costs $150 per night to stay in the resort and $600 for round-trip airfare. Write an expression to represent the total cost of package B. Be sure to identify what the variable represents.

3.) For what number of days would both package A and package B have the same price?

4.) What is the price of that vacation?