Ogt Math Study Guide Worksheet With Answers - Maple Heights City Schools Page 12
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31ex. 5x – 5 = 2x + 10
the goal is to get x terms on one side.
5x - 5 = 2x + 10
←
We do this by adding
5 to each side to get
+5
+5
5x by itself.
5x - 5 = 2x + 10
+5
+5
5x = 2x + 15
Now we have to
bring 2x to the left
5x = 2x + 15
←
side so our x
variables are together
-2x
5x = 2x + 15
-2x -2x
Finally, we have to get x by
itself. Since 3 is multiplied
by x (3x) we need to divide
3x = 15
←
both sides by 3 to get rid of
it on the left side.
3x = 15
3
3
3x = 15
x = 15
x = 5
3
3
3
put our x value which is 5 into original equation to check it.
5(5) – 5 = 2 (5) + 10 → 25-5=10+10 → 20=20
Solving and graphing inequalities
12
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