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A symbol we usually pick letters to be symbols, usually represents a number. Any letter you choose can be a variable.

A variable is a symbol that stands in for an unknown value in a mathematical expression. A variable expression is a combination of terms and mathematical operations that contains at least one variable. Example a + 2x + 10

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

Example: 3x + 5 = 14 is an equation, in which 3x+5 and 14 are two expressions separated by an ‘’equal’’ sign.

In mathematics, the quotient is the number obtained by dividing one number by another number.

Example:A quotient of x and y mean x divide y.

Converting the phrase into an equation:

In the left side, the phrase is ‘’the quotient of 40 and x’’. Quotient means the division of 40 and x and x is the variable and the right side is 8.

Now we can write ‘’the quotient of 40 and x’’is $\frac{40}{x}$

The equation is $\frac{40}{x}=  8$

Solving the equation $\frac{40}{x}=  8$

$\begin{array}{l}\frac{40}{x}=8\\ x·\frac{40}{x}=8·x\left[\text{multiplybothsideswith}x\right]\\ 40=8x\\ \frac{40}{8}=\frac{8x}{8}\left[\text{Divideeachsideby}8\right]\\ x=5\end{array}$

Yes, the solution of the equation is 5.