Question

We still have x terms on both sides of the equation, and we’re trying to isolate x. Let's try to get rid of the x term on one of the sides. What move could you make to get rid of the 8x on the left while keeping the equation balanced?
3x+5x+ 6=2(4x+3)
3x+5x+ 6= 8x+6
8x+ 6=8x+6

A.Add 8x to each side

B.Multiply each side by 8x

C.Subtract 8x from each side
GPT-4o mini
To get rid of the \(8x\) on the left side of the equation while keeping it balanced, the correct move would be:

**C. Subtract \(8x\) from each side.**

This would isolate the \(x\) terms, allowing you to simplify the equation further. If we subtract \(8x\) from both sides, the equation would then become:

\[
8x + 6 - 8x = 8x + 6 - 8x
\]

Which simplifies to:

\[
6 = 6
\]

This shows both sides are equal, but doesn't isolate \(x\). However, it indicates that \(x\) can take on any value, as the equation is always true.

Related Questions

Let’s try to isolate the variable, x. Since there are x terms on both sides of the equation, let’s g... Let’s try to isolate the variable, x. Since there are x terms on both sides of the equation, let’s g... First, let’s try to isolate the variable, x. There are x terms on both sides of the equation. One wa... Let’s keep going. We have x terms on both sides of the equation, and we’re trying to isolate x. Let'...