Question

How do you solve $ 6\left( {x + 4} \right) = 3x - 2 $ ?

Answer 1

Hint: In the question, we are provided with a linear equation with only one variable. We have to find the value for the variable “x”. Firstly, solve the left-hand side by multiplying the constant into the bracket and then take the constants to the other side and solve to find the value of “x”.

Complete step by step solution:
In this question, we are given an expression with “x” as its variable. And we have to find the value for the variable “x”.
For solving these questions, take the variables at one side and the constants at the other side. for that firstly eliminate the brackets.
Multiply the constant $ 6 $ inside the bracket.
 $ \Rightarrow 6x + 24 = 3x - 2 $
Taking the variable “x” to one side probably to the left-hand side and constants to the other side probably to the right-hand side. On changing the sides, signs will change as positive signs will change to negative signs and vice-versa.
 $\Rightarrow 6x - 3x = - 2 - 24 $
Solving the simple addition and subtraction,
 $\Rightarrow 3x = - 26 $
Divide by $ 3 $
 $\Rightarrow x = \dfrac{{ - 26}}{3} $
This is our required solution.
So, the correct answer is “$ x = \dfrac{{ - 26}}{3} $”.

Note: Linear equations are quite easier to solve. The difficulty level is when we have to find two variables to solve. Just keep in mind to have constants on the right-hand side and the variables to the left-hand side. solve the simple calculations carefully.