Question

Solve the given equation: $ 3\left( x-5 \right)=12 $ ?

Answer 1

Hint:
We start solving the problem by dividing the equation $ 3\left( x-5 \right)=12 $ with 3 on both sides of it. We then make the necessary calculations involving division operations and then adding the obtained resultant equation with 5 on 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: $ 3\left( x-5 \right)=12 $ .
Now, we have $ 3\left( x-5 \right)=12 $ ---(1).
Let us divide both sides of the equation (1) with 3.
 $ \Rightarrow \dfrac{3\left( x-5 \right)}{3}=\dfrac{12}{3} $ .
 $ \Rightarrow x-5=4 $ ---(2).
Let us add both sides of the equation (2) with 5.
 $ \Rightarrow x-5+5=4+5 $ .
 $ \Rightarrow x=9 $ .
So, we have found the solution for the given equation $ 3\left( x-5 \right)=12 $ as $ x=9 $ .
 $ \therefore $ The solution for the given equation $ 3\left( x-5 \right)=12 $ is $ x=9 $ .

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 solve the given problem as shown below:
We have $ 3\left( x-5 \right)=12 $ .
 $ \Rightarrow 3x-15=12 $ ---(3).
Let us add both sides of the equation (3) with 15.
 $ \Rightarrow 3x-15+15=12+15 $ .
 $ \Rightarrow 3x=27 $ ---(4).
Let us divide both sides of the equation (4) with 3.
 $ \Rightarrow \dfrac{3x}{3}=\dfrac{27}{3} $ .
 $ \Rightarrow x=9 $ .
Similarly, we can expect problems to find the solution of the given equation $ 4x+13=29 $.