Question

5
select the correct answer.
solve for x.
10(2x - 4) = 100x
a. x = 7
b. x = 3
c. x = 1/2
d. x = -1/2

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we have \(10(2x - 4)=10\times2x-10\times4 = 20x-40\). So the equation becomes \(20x - 40=100x\).

Step2: Move terms with x to one side

Subtract \(20x\) from both sides: \(20x-20x - 40=100x - 20x\), which simplifies to \(-40 = 80x\).

Step3: Solve for x

Divide both sides by 80: \(x=\frac{-40}{80}=-\frac{1}{2}\).

Answer:

D. \(x = -\frac{1}{2}\)