Question
Which value of x makes the equation 1.25(4x – 10) = 7.5 true?
Answers
GPT-4o mini
To find the value of \( x \) that satisfies the equation \( 1.25(4x - 10) = 7.5 \), we can proceed with the following steps:
1. Distribute \( 1.25 \) on the left side of the equation:
\[
1.25 \times 4x - 1.25 \times 10 = 7.5
\]
This simplifies to:
\[
5x - 12.5 = 7.5
\]
2. Next, isolate the term containing \( x \) by adding \( 12.5 \) to both sides:
\[
5x - 12.5 + 12.5 = 7.5 + 12.5
\]
This results in:
\[
5x = 20
\]
3. Finally, divide both sides by \( 5 \) to solve for \( x \):
\[
x = \frac{20}{5} = 4
\]
Thus, the value of \( x \) that makes the equation true is \( \boxed{4} \).
1. Distribute \( 1.25 \) on the left side of the equation:
\[
1.25 \times 4x - 1.25 \times 10 = 7.5
\]
This simplifies to:
\[
5x - 12.5 = 7.5
\]
2. Next, isolate the term containing \( x \) by adding \( 12.5 \) to both sides:
\[
5x - 12.5 + 12.5 = 7.5 + 12.5
\]
This results in:
\[
5x = 20
\]
3. Finally, divide both sides by \( 5 \) to solve for \( x \):
\[
x = \frac{20}{5} = 4
\]
Thus, the value of \( x \) that makes the equation true is \( \boxed{4} \).