Warner Delgado
07/25/2023 · Junior High School
2) \( 4(-8 x+5)=-20 x \) \( -32 x+20=-20 x \) \( -32 x+20 x=-20 x \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let's solve the equation step by step.
Starting with the original equation:
\[
4(-8x + 5) = -20x
\]
Distributing the 4 on the left side:
\[
-32x + 20 = -20x
\]
Now, we want to isolate \(x\). First, let's move all terms involving \(x\) to one side. We can add \(32x\) to both sides:
\[
20 = -20x + 32x
\]
This simplifies to:
\[
20 = 12x
\]
Next, we can solve for \(x\) by dividing both sides by 12:
\[
x = \frac{20}{12}
\]
This simplifies to:
\[
x = \frac{5}{3}
\]
So the solution to the equation \(4(-8x + 5) = -20x\) is:
\[
\boxed{\frac{5}{3}}
\]
Quick Answer
The solution to the equation is \( x = \frac{5}{3} \).
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