__Solved Example on Equivalent Equations__

Which of the following equations is equivalent to the equation 3(*x* – 5) = 4*x*?

** Choices: **

A. 3*x* = - 45

B. 3*x* = 45

C. 2*x* = 15 - *x*

D. *x* + 3 = - 18

Correct Answer: A

**Solution:**

**Step 1:** Let us first solve the equation

3(*x* – 5) = 4*x*.

** Step 2:** 3*x* – 15 = 4*x* [Simplify.]

** Step 3: **3*x* – 4*x* = 15

** Step 4: **- *x* = 15

** Step 5: ***x* = - 15

** Step 6:** The solution is – 15.

**Step 7:** Now, we need to identify from the choices listed, the equation with the same solution, - 15.

**Step 8:** Among the choices listed, only 3*x* = - 45 gives

*x* = - 15.

** Step 9:** So, the equation equivalent to the given equation is 3*x* = - 45.

__Additional Links for Equivalent Equations __