Question:
Twice the difference of a number and 5 is equal to 9 .
Answer:
[tex]2x - 5 = 9[/tex]
Step-by-step explanation:
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Let the number be x
Twice the number, x is [tex]2x[/tex]
The difference between (above) and 5 is [tex]2x - 5[/tex]
This equals to 9.
So, the expression becomes
[tex]2x - 5 = 9[/tex]
Solving further:
[tex]2x = 5 + 9[/tex]
[tex]2x = 14[/tex]
Divide through by 2
[tex]x = 7[/tex]
Hence, the number is 7