Solve Equations with Variables and Constants on Both Sides: example 8.25

Solve: $7 x + 5 = 6 x + 2 .$

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: $12 x + 8 = 6 x + 2 .$

How did it go?


Collect the variable terms to the left side by subtracting $6 x$ from both sides.
Simplify.
Now, collect the constants to the right side by subtracting 5 from both sides.
Simplify.
The solution is $x = −3$ .
Check: Let $x = −3$ .


Collect the variable terms to the left side by subtracting $6 x$ from both sides.
Simplify.
Now, collect the constants to the right side by subtracting 5 from both sides.
Simplify.
The solution is $x = −3$ .
Check: Let $x = −3$ .