Question

nine more than four times a number is the same as one less than twice the number. find the number.

Explanation:

Step1: Define the unknown number

Let the number be $x$.

Step2: Translate to equation

$4x + 9 = 2x - 1$

Step3: Isolate $x$ terms

Subtract $2x$ from both sides:
$4x - 2x + 9 = 2x - 2x - 1$
$2x + 9 = -1$

Step4: Isolate the $x$ term

Subtract 9 from both sides:
$2x + 9 - 9 = -1 - 9$
$2x = -10$

Step5: Solve for $x$

Divide both sides by 2:
$x = \frac{-10}{2}$

Answer:

$-5$