Question

Solve $5x + 7 = 27$?

Answer 1

Hint: According to the question we have to solve the given linear expression which is $5x + 7 = 27$. So, first of all to determine the solution or we can say that to determine the value of x first of all we have to rearrange the terms of the given linear expression in which we have to take all the integers to any one side of the given linear expression which is $5x + 7 = 27$.

Now, we have to subtract the integers as obtained after rearranging the terms of the expression. Then apply the cross-multiplication in the terms of the expression after adding or subtracting the terms which can be added or subtracted to obtain the value of $x$.

Complete step by step solution:
First of all to determine the solution or we can say that to determine the value of x first of all we have to rearrange the terms of the given linear expression in which we have to take all the integers to any one side of the given linear expression which is $5x + 7 = 27$. Hence,
$ \Rightarrow 5x = 27 - 7$

Now, Subtract the integers as obtained after rearranging the terms of the expression as mentioned in the solution hint. Hence,
$ \Rightarrow 5x = 20$

Apply the cross-multiplication in the terms of the expression as obtained in the solution step 2 after adding or subtracting the terms which can be added or subtracted to obtain the value of x. Hence,
$
   \Rightarrow x = \dfrac{{20}}{5} \\
   \Rightarrow x = 4 \\
 $

Hence, with the help of eliminating the terms we have obtained the solution of the given linear expression $5x + 7 = 27$ is $ \Rightarrow x = 4$.

Note:
• To obtain the required value of $x$ it is necessary that we have to eliminate the integers of the given linear expression by rearranging the terms of the expression.
• The value of $x$ which we have obtained will satisfy the expression means after substituting the value of $x$ will make the both sides of the expression equal to each other.