Question

there are several ways to start solving this equation. there are variables on both sides, and a number on the left side only. so, one way to start is to get all of the variables on one side, and keep the number on the other side. which move can you make to move all of the x terms to the right, while keeping the equation balanced?
24 - 4x = 8x
options: add 4x to both sides; subtract 4x from both sides; subtract 24 from both sides

Explanation:

Step1: Identify valid first step

To move all $x$ terms to the right, we eliminate the $-4x$ on the left by adding $4x$ to both sides.
$24 - 4x + 4x = 8x + 4x$

Step2: Simplify the equation

Combine like terms on both sides.
$24 = 12x$

Step3: Solve for $x$

Divide both sides by 12 to isolate $x$.
$x = \frac{24}{12} = 2$

Answer:

Valid first move: Add 4x to both sides
Value of $x$: $2$