Question

select the correct answer.
which value of x solves the equation below?
10(x - 1) = 8x - 2
x = 5
x = 4
x = 6
x = 2

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we expand \(10(x - 1)\) to get \(10x-10\). So the equation becomes \(10x - 10=8x - 2\).

Step2: Subtract \(8x\) from both sides

Subtracting \(8x\) from both sides of the equation \(10x - 10=8x - 2\), we have \(10x-8x - 10=8x - 8x- 2\), which simplifies to \(2x-10=-2\).

Step3: Add 10 to both sides

Adding 10 to both sides of \(2x - 10=-2\), we get \(2x-10 + 10=-2 + 10\), so \(2x=8\).

Step4: Divide by 2

Dividing both sides of \(2x = 8\) by 2, we have \(\frac{2x}{2}=\frac{8}{2}\), which gives \(x = 4\).

Answer:

\(x = 4\) (corresponding to the option with \(x = 4\))