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Consider the following word problem: Eleven more than four times a number is equal to the difference between - 21 and four times the number. Find the number.

Sagot :

Let the unknown number be x

Eleven more than four times the number is expressed as:

[tex]4x+11[/tex]

The difference between -21 and four times the number is expressed as:

[tex]-21-4x[/tex]

Combing the above expressions together, to solve for x will give us:

[tex]\begin{gathered} 4x+11=-21-4x \\ \text{Collect like terms:} \\ 4x+4x=-21-11 \end{gathered}[/tex]

Simplifying further, we will have:

[tex]\begin{gathered} 8x=-32 \\ \frac{8x}{8}=\frac{-32}{8} \\ x=-4 \end{gathered}[/tex]

The number, therefore, is -4

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