Required equation is:
[tex]2(x-4)=3(x+3)[/tex]
The required number is -17
Step-by-step explanation:
We need to find the number from the given word phrase:
Twice the difference of a number and 4 is equal to three times the sum of the number and 3.
Translating word phrase into algebraic expression
Let number = x
Twice the difference of a number and 4: 2(x-4)
three times the sum of the number and 3: 3(x+3)
So, required equation is:
[tex]2(x-4)=3(x+3)[/tex]
Solving to find the number x
[tex]2(x-4)=3(x+3)\\2x-8=3x+9\\Combining\,\,like\,\,terms:\\2x-3x=9+8\\-x=17\\x=-17[/tex]
So, the required number is -17
Keywords: translate the word phrase into a math expression.
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