Question

How do you solve the given equation: $ 8x=-14+x $?

Answer 1

Hint: We start solving the problem by subtracting the given equation $ 8x=-14+x $ with x on both sides of it. We then make the necessary calculations and then divide both sides of the obtained resultant equation with 7 into both sides to proceed through the problem. We then make the necessary calculations involving the addition and subtraction operations to get the required value of x which is the required answer.

Complete step by step answer:
According to the problem, we are asked to solve the given equation: $ 8x=-14+x $.
Now, we have $ 8x=-14+x $ ---(1).
Let us subtract both sides of the equation (1) with x.
 $ \Rightarrow 8x-x=-14+x-x $ .
 $ \Rightarrow 7x=-14 $ ---(2).
Let us divide both sides of the equation (2) with 7.
 $ \Rightarrow \dfrac{7x}{7}=\dfrac{-14}{7} $ .
 $ \Rightarrow x=-2 $ .
So, we have found the solution for the given equation $ 8x=-14+x $ as $ x=-2 $ .
$ \therefore $ The solution for the given equation $ 8x=-14+x $ is $ x=-2 $ .

Note:
Whenever we get this type of problem, we should always try to make the necessary calculations in the given equation to get the final value for x which will be the required answer. We can also solve this problem by making use of the trial and error method for the values of x in the given equation. We should not confuse while performing calculations related to subtraction and division operations while solving this problem. Similarly, we can expect problems to find the solution of the given equation $ 4x+15=-x $.