Answer :
[tex]\frac{x}{2}-7=9\ \ \ \ | add\ 7\\\\
\frac{x}{2}=16\ \ \ | multiply\ by\ 2\\\\
x=32\\\\Solution\ is\ x=32.[/tex]
[tex] \frac{x}{2} [/tex]-7 = 9 First you want to get the variable by itself on one side of the equastion, so you add 7 to both sides of the equal sign... [tex] \frac{x}{2} [/tex] -7 = 9
+ 7 + 7
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[tex] \frac{x}{2} [/tex] = 16 Then since x is being divided by two, you multiply by two on both sides of the equals sign, to get x completely by itself
[tex] \frac{x}{2} [/tex] = 16
x 2 x 2
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x = 32
Then to see if your answer is correct, you plugin 32 for x, and the statement will be correct. [tex] \frac{32}{2} [/tex] - 7 = 9
16 - 7 = 9
9 = 9 The statement is correct so your solution for x is correct as well.
+ 7 + 7
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[tex] \frac{x}{2} [/tex] = 16 Then since x is being divided by two, you multiply by two on both sides of the equals sign, to get x completely by itself
[tex] \frac{x}{2} [/tex] = 16
x 2 x 2
------------------------------------------
x = 32
Then to see if your answer is correct, you plugin 32 for x, and the statement will be correct. [tex] \frac{32}{2} [/tex] - 7 = 9
16 - 7 = 9
9 = 9 The statement is correct so your solution for x is correct as well.