Solve Equations Using the Subtraction and Addition Properties of Equality: example 8.8

Solve: $2 (3 k - 1) - 5 k = −2 - 7 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: $4 (2 h - 3) - 7 h = −6 - 7 .$

How did it go?


Distribute on the left, subtract on the right.
Use the Commutative Property of Addition.
Combine like terms.
Undo subtraction by using the Addition Property of Equality.
Simplify.
Check. Let $k = −7 .$ The solution checks.


Distribute on the left, subtract on the right.
Use the Commutative Property of Addition.
Combine like terms.
Undo subtraction by using the Addition Property of Equality.
Simplify.
Check. Let $k = −7 .$ The solution checks.