Question

You have x terms on both sides of the equation. What move can you make to get rid of the −24x on the right, so there are only x terms on the left side of the equation?
y= 4x−5
x= −6y+20
x
=
−6(4x−5) + 20

x
=
−6(4x+−5) + 20

x
=
−24x + 30 + 20

x
=
−24x + 50

Add 24x to both sides

Subtract 24x from both sides

Multiply both sides by 24x

Answer 1

To isolate the x terms on the left side of the equation \( x = -24x + 50 \), you should **add \( 24x \) to both sides**. This will eliminate the \( -24x \) on the right side and combine it with the \( x \) on the left side.

So the correct move is:

**Add \( 24x \) to both sides.**

This will give you:

\[ x + 24x = 50 \]

Which simplifies to:

\[ 25x = 50 \]