Question

How‌ ‌do‌ ‌you‌ ‌solve‌ ‌$3x+1=\dfrac{1}{2}$‌ ‌?‌ ‌

Answer 1

Hint: In this question, we have to find the value of x. As we have to solve a linear equation that consists of only a variable. Thus, we will apply simple mathematical operations to get the solution to the problem. Therefore, we start solving this equation by subtracting 1 on both sides of the equation and then we cancel out the same terms with the opposite sign on the left-hand side of the equation. Then, we will divide 3 on both sides of the equation and make necessary calculations that give the value of x, which is our required answer.

Complete step-by-step solution:
According to the question, we have to find the value of x.
The equation given to us is $3x+1=\dfrac{1}{2}$ ---------- (1)
First, we will subtract 1 on both-hand sides of the equation (1), that is
$3x+1-1=\dfrac{1}{2}-1$
Now, we know that the same terms with opposite signs cancel out each other, therefore we cancel the same terms on the left-hand side in the above equation, we get
$3x=-\dfrac{1}{2}$
Now, we will divide 3 on both sides of the equation, we get
$\dfrac{3}{3}x=-\dfrac{1}{2}.\dfrac{1}{3}$
On further solving the above equation, we get
$\Rightarrow x=-\dfrac{1}{6}$ which is our required answer.

Therefore, for the equation $3x=-\dfrac{1}{2}$ , the value of x is equal to $-\dfrac{1}{6}$ , which is our required answer.

Note: Make all the necessary calculations properly and avoid mathematical errors. Do write all the steps one-by-one to avoid any confusion and mathematical errors. One of the alternative methods to solve this problem is first we will subtract $\dfrac{1}{2}$ on both sides of the equation and then, we will add $\dfrac{1}{2}$ to the new equation. In the end, we will divide 3 on both sides of the equation, to get the required result for the problem.