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Example 8.20 from Prealgebra, 8.3 Solve Equations with Variables and Constants on Both Sides
Solve Equations with Variables and Constants on Both Sides: example 8.20
Solve:
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.
Solution
In this equation, the variable is only on the left side. It makes sense to call the left side the variable side. Therefore, the right side will be the constant side. We’ll write the labels above the equation to help us remember what goes where.
Since the left side is the variable side, the 6 is out of place. We must "undo" adding 6 by subtracting 6, and to keep the equality we must subtract 6 from both sides. Use the Subtraction Property of Equality. Simplify. Now all the s are on the left and the constant on the right. Use the Division Property of Equality. Simplify. Check: Let .
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Solve:
How did it go?