Answer:
-7
Step-by-step explanation:
2(x-3)=3x+1
2x-6=3x+1
x=-6-1=-7
if twice the difference of a number and 3 is the same as 1 added to three times the number, the required number will be -7
Let the unknown number be x
Twice the difference of a number and 3 is expressed as 2(x-3)
If 1 is added to three times the number, this is expressed as 3x + 1
Since both expressions are the same, this means that:
[tex]2(x-3)=3x+1[/tex]
Expand the bracket
[tex]2x-6=3x+1\\[/tex]
Collect the like terms
[tex]2x-3x=1+6\\-x=7\\x=-7[/tex]
This shows that the value of the unknown number is -7
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