Solve Equations with Variables and Constants on Both Sides: example 8.24

Solve: $7 x = - x + 24 .$

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: $12 j = −4 j + 32 .$

How did it go?


Remove the $- x$ from the right side by adding $x$ to both sides.
Simplify.
All the variables are on the left and the constants are on the right. Divide both sides by 8.
Simplify.
Check: Substitute $x = 3$ .


Remove the $- x$ from the right side by adding $x$ to both sides.
Simplify.
All the variables are on the left and the constants are on the right. Divide both sides by 8.
Simplify.
Check: Substitute $x = 3$ .