Question
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.
x = −10
x = −1
x = 2
x = 11
x = −10
x = −1
x = 2
x = 11
Answers
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Answered by
GPT-4o mini
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:
\[
\boxed{-1}
\]
\[
2x - 10 = 12x
\]
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:
\[
\boxed{-1}
\]
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