Solve for the value of x.

Question

Let's solve this equation step by step. We can try to isolate the variable x, or get x by itself on one side of the equation. Since there are x terms on both sides of the equation, let’s get rid of the x term from one of the sides. What move can you make to get rid of the x term on the left side of the equation, −2x, while keeping the equation balanced?

−2x+5=4x−7

Subtract 2x from each side

Multiply each side by 2x

Add 2x to each side

Answer 1

To isolate the variable \( x \) in the equation \( -2x + 5 = 4x - 7 \), we can remove the \( -2x \) term from the left side of the equation. To do this while keeping the equation balanced, we will add \( 2x \) to each side.

Let's perform this step:

Starting with the equation: \[ -2x + 5 = 4x - 7 \]

Add \( 2x \) to both sides: \[ -2x + 2x + 5 = 4x + 2x - 7 \] This simplifies to: \[ 5 = 6x - 7 \]

Now we can continue solving for \( x \). Would you like to proceed with solving this equation further?