Question

Choose the correct answer from the given four options $(3to15)$.

8. The solution of the equation $3x-2=10$ is

• A. $x=1$
• B. $x=2$
• C. $x=3$
• D. $x=4$

Answer 1

The correct option is D

$x=4$

Explanation:

Given, equation is $3x-2=10$

Let check the value of $x$ for all options

(A). For,$x=1$ and equation is $3x-2=10$

So, we get LHS$$\begin{gathered} =3\times 1-2 \\ =3-2 \\ =1 \end{gathered}$$

Now, LHS$\ne$RHS, so, $x=1$ is not the solution of the equation $3x-2=10$

(B).For,$x=2$ and equation is $3x-2=10$

So, we get LHS$$\begin{gathered} =3\times 2-2 \\ =6-2 \\ =4 \end{gathered}$$

Now, LHS$\ne$RHS, so, $x=1$ is not the solution of the equation $3x-2=10$

(C).For,$x=3$ and equation is $3x-2=10$

So, we get LHS$$\begin{gathered} =3\times 3-2 \\ =9-2 \\ =7 \end{gathered}$$

Now, LHS$\ne$RHS, so, $x=1$ is not the solution of the equation $3x-2=10$

(D).For,$x=4$ and equation is $3x-2=10$

So, we get LHS$$\begin{gathered} =3\times 4-2 \\ =12-2 \\ =10 \end{gathered}$$

Now, LHS$=$RHS, so, $x=4$ is the solution of the equation $3x-2=10$

Hence, option (D) is correct option.