Question

eighty, decreased by three times a number, is the same as five times the number, increased by eight. find the number.
equations, problems, and functions: with the variable on both sides

Explanation:

Step1: Define the unknown number

Let the number be $x$.

Step2: Translate to equation

$80 - 3x = 5x + 8$

Step3: Isolate $x$ terms

$80 - 8 = 5x + 3x$
$72 = 8x$

Step4: Solve for $x$

$x = \frac{72}{8}$

Answer:

$9$