First, let’s try to isolate the variable, x. There are x terms on both sides of the equation. One way you could solve is to get rid of the x term from one of the sides. What move can you make to get rid of the 5x on the right side of the equation while keeping the equation balanced?

5x=6+5x

A. Add 5x to each side

B.Subtract 5x from each side

C.Multiply each side by 5x

1 answer

To isolate the variable \( x \) by getting rid of the \( 5x \) on the right side of the equation \( 5x = 6 + 5x \), you should subtract \( 5x \) from each side.

So the correct move is:

B. Subtract 5x from each side

This will lead you to:

\[ 5x - 5x = 6 + 5x - 5x \]

Which simplifies to:

\[ 0 = 6 \]

However, this indicates that there are no solutions, as 0 does not equal 6.

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