Question

There are several ways to start solving this equation. You can start by making sure there are only x terms on one side. Let’s get rid of the x terms on the right so there are only x terms on the left. What move can you make to both sides of the equation to get rid of the −18x on the right, so that the x terms are only on the left, while keeping the equation balanced?

2x−24=−18x−10

Add 18x to both sides

Subtract 18x from both sides

Multiply both sides by 18x

Answer 1

To remove the −18x from the right and keep x terms on the left in the equation 2x−24 = −18x−10, you should add 18x to both sides, then combine like terms, add 24 to both sides to isolate x, and finally divide by 20 to solve for x, resulting in x = 0.7.

Step-by-step explanation:

To isolate the x terms on one side of the equation 2x−24 = −18x−10, you would want to add 18x to both sides of the equation. This is an algebraic technique that keeps the equation balanced while moving all terms involving the variable to one side. Here's how you proceed:

1. Add 18x to both sides of the equation: 2x + 18x - 24 = -18x + 18x - 10.
2. Simplify by combining like terms: (2x + 18x) becomes 20x on the left side, and the -18x + 18x cancels out on the right side, resulting in 20x - 24 = -10.
3. You can proceed with solving for x by then adding 24 to both sides of the equation to isolate the x term completely, resulting in 20x = 14.
4. Finally, divide both sides of the equation by 20 to solve for x, yielding x = 14/20 or x = 0.7.