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?

Question

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

Answer 1

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.