Question

Solve the following equation and check your result.
           $3x\text{ = 2}x\text{ + 20}$
           What is the value of x?
A. 16
B. 18
C. 20
D. 22

Answer 1

Hint: Subtract 2x from both sides of the equation and obtain the value for x.

Complete step-by-step answer:
The equation given is,

$3x\text{ = 2}x\text{ + 20}$

Now, we need to subtract 2x from both sides of the equation to obtain the value of x.

$\begin{align}

  & 3x\text{ }-\text{ 2}x\text{ = 2}x\text{ + 20 }-\text{ 2}x \\

 & \therefore \text{ }x\text{ = 20} \\

\end{align}$

Thus, by subtracting the value 2x from both sides of the given equation, we can observe that the value of x is 20.

Hence, the correct answer is option C.

Note: The equation can be simply solved by taking the value 2x from the right hand side to the left hand side by changing the sign, as done in solving an equation. This step and subtraction of 2x from both sides are equivalent. Both ways, we get the value of x as 20.