Question

xavier is thinking of a number. nine more than four times the number is the same as fifteen. what is xaviers number? 8. less than twice the number. what is xaviers number?

Explanation:

Step1: Translate the problem into an equation

Let Xavier's number be $x$. The problem states that "Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number." So, $4x + 9=2x - 15$.

Step2: Isolate the variable terms

Subtract $2x$ from both sides of the equation:
$4x-2x + 9=2x-2x - 15$
$2x+9=-15$.

Step3: Isolate the variable

Subtract 9 from both sides:
$2x+9 - 9=-15 - 9$
$2x=-24$.

Step4: Solve for $x$

Divide both sides by 2:
$\frac{2x}{2}=\frac{-24}{2}$
$x = - 12$.

Answer:

$-12$