To find the value of \( x \) in the equation \(-25(x - 4) = -55(x - 10)\), let's solve step-by-step:
1. Distribute the constants on both sides:
\[
-25(x - 4) = -55(x - 10)
\]
\[
-25x + 100 = -55x + 550
\]
2. Combine like terms by moving all \( x \)-terms to one side and constant terms to the other:
\[
-25x + 100 = -55x + 550 \implies -25x + 55x = 550 - 100
\]
\[
30x = 450
\]
3. Solve for \( x \) by dividing both sides by 30:
\[
x = \frac{450}{30}
\]
\[
x = 15
\]
So, the value of \( x \) is 15. Since this is not listed in the provided responses, it appears there might be an error in the given options. However, based on the correct calculations, the value of \( x \) is indeed 15.
What is the value of x, when -25(x - 4) = -55(x - 10)?
Responses
A x = 5x
B x = -5
C x = 8 1/8
D x = 15x
E x = -15
3 answers
are you sure?
Let's double-check the calculation step-by-step:
Given the equation:
\[
-25(x - 4) = -55(x - 10)
\]
Distribute the constants:
\[
-25x + 100 = -55x + 550
\]
Rearrange the equation to collect all \( x \)-terms on one side, and constant terms on the other:
\[
-25x + 55x = 550 - 100
\]
Simplify the equation:
\[
30x = 450
\]
Solve for \( x \) by dividing both sides by 30:
\[
x = \frac{450}{30}
\]
\[
x = 15
\]
The calculation is correct, and the value of \( x \) indeed is 15. Given that none of the provided responses exactly match \( 15 \), and there is no matching response among the options, there appears to be an error in the given multiple-choice options.
So, yes, based on the correct calculations, \( x \) is indeed \( 15 \).
Given the equation:
\[
-25(x - 4) = -55(x - 10)
\]
Distribute the constants:
\[
-25x + 100 = -55x + 550
\]
Rearrange the equation to collect all \( x \)-terms on one side, and constant terms on the other:
\[
-25x + 55x = 550 - 100
\]
Simplify the equation:
\[
30x = 450
\]
Solve for \( x \) by dividing both sides by 30:
\[
x = \frac{450}{30}
\]
\[
x = 15
\]
The calculation is correct, and the value of \( x \) indeed is 15. Given that none of the provided responses exactly match \( 15 \), and there is no matching response among the options, there appears to be an error in the given multiple-choice options.
So, yes, based on the correct calculations, \( x \) is indeed \( 15 \).