Eight more than three times a number is equal to the number.
What is the number

After solving the algebraic equation, the unknown number is equal to -4.
To write the word problem as an algebraic equation:
In this exercise, we are required to translate the given word problem into a mathematical (algebraic) expression and then solve for the unknown variable (number):
Translating the word problem into an algebraic expression, we have;
Eight more than three times a number:
[tex]3x + 8[/tex]
Equating the above to the number, we have:
[tex]3x + 8=x\\\\3x-x=-8\\\\2x=-8\\\\x=\frac{-8}{2}[/tex]
x = -4
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