Martinez Dawson
02/01/2023 · High School
Find the value of \( 5 x-10 \) given that \( 4 x-6=6 \) Simplify your answer as much as possible.
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Step-by-step Solution
To find the value of \( 5x - 10 \) given that \( 4x - 6 = 6 \), we first need to solve for \( x \).
Starting with the equation:
\[
4x - 6 = 6
\]
We can add 6 to both sides:
\[
4x = 6 + 6
\]
This simplifies to:
\[
4x = 12
\]
Next, we divide both sides by 4 to solve for \( x \):
\[
x = \frac{12}{4} = 3
\]
Now that we have the value of \( x \), we can substitute it into the expression \( 5x - 10 \):
\[
5x - 10 = 5(3) - 10
\]
Calculating this gives:
\[
5(3) = 15
\]
So,
\[
5x - 10 = 15 - 10 = 5
\]
Thus, the value of \( 5x - 10 \) is
\[
\boxed{5}
\]
Quick Answer
The value of \( 5x - 10 \) is 5.
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