The equation the quantity 2x minus 10 divided by 4 equals 3x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x.

Question

x = −10
x = −1
x = 2
x = 11

Answer 1

To solve the equation \(\frac{2x - 10}{4} = 3x\), we can start by eliminating the fraction. We can do this by multiplying both sides of the equation by 4:

\[ 2x - 10 = 12x \]

Next, we want to isolate \(x\). We'll move \(2x\) to the right side by subtracting \(2x\) from both sides:

\[ -10 = 12x - 2x \]

This simplifies to:

\[ -10 = 10x \]

Next, we divide both sides by 10:

\[ x = -1 \]

So, the solution to the equation is:

\[ \boxed{-1} \]