What are two different ways to solve the equation

Question

5(x+3)=25?
Select two answers that apply.
Responses

First, divide both sides of the equation by 5. Then, subtract 3 from both sides of the equation.

First, divide both sides of the equation by 5. Then, subtract 15 from both sides of the equation.

First, simplify the left side of the equation by distribution. Then, subtract 15 from both sides of the equation. Finally, divide both sides of the equation by 5.

Answer 1

Let's evaluate the provided options for solving the equation $5(x+3)=25$.

1. First, divide both sides of the equation by 5. Then, subtract 3 from both sides of the equation.

   • Dividing both sides by 5: $$x+3=5$$
   • Then, subtracting 3: $$x=2$$
   • This method works.

2. First, divide both sides of the equation by 5. Then, subtract 15 from both sides of the equation.

   • Dividing both sides by 5: $$x+3=5$$
   • Then, if you subtract 15 from both sides: $$x+3-15=5-15⟹x-12=-10⟹x=2$$
   • This method also leads to the correct solution.

3. First, simplify the left side of the equation by distribution. Then, subtract 15 from both sides of the equation. Finally, divide both sides of the equation by 5.

   • Distributing: $$5x+15=25$$
   • Then, subtracting 15: $$5x=10$$
   • Finally, divide both sides by 5: $$x=2$$
   • This method leads to the correct solution as well.

All three methods ultimately arrive at the same solution of $x=2$.

To select two answers that apply based on the options provided, we have:

1. First, divide both sides of the equation by 5. Then, subtract 3 from both sides of the equation.
2. First, simplify the left side of the equation by distribution. Then, subtract 15 from both sides of the equation. Finally, divide both sides of the equation by 5.

So the two ways to solve the equation are:

1 and 3.