Question

Solve $ 7x-15=6(x+2) $

Answer 1

Hint: When we solve any linear equations firstly, we separate variables at one side and constants at the other side and simplify the equation.

Complete step-by-step answer:
We can easily get the value of x using some basic concept of linear equations.
Before solving this question, we should know abouts variables and constant
Variables are written in the form of letters and constants are any fixed integers.
We take an example to know about this $ ax-b=0 $ where a and b is any integer
In this example x is the variable after separation, we get $ x=\frac{b}{a} $ .
When we separate variables and numbers in this equation
 $ 7x-15=6(x+2) $
It can be written as: $ 7x-15=6x+12 $
We put variables at left side and number at right side then
 $ 7x-6x=12+15 $
When we apply addition and subtraction rules in the above equation.
we get,
 $ x=27 $
We can check our solution by putting the value of x in the equation $ 7x-15=6(x+2) $
Verify our solution:
when we get $ $ $ x=27 $ it means that $ x=27 $ is the solution of this equation after putting the value of x in the given equation, when their left-hand-side is equal to right-hand-side then our answer is verified.
In the linear equation, variables add with variables and constant add with constant only.
 $ 7x-15=6(x+2) $
We put $ x=27 $
 $ 7\times 27-15=6(27+2) $
When we solve this equation we get,
 $ 189-15=162+12 $
 $ 174=174 $
Hence left-hand-side is equal to right hand side, so $ x=27 $ is correct for this equation $ 7x-15=6(x+2) $ .
So, the correct answer is “ $ x=27 $ ”.

Note: When we solve any linear equation, we should know the concept of addition, subtraction, multiplication and division rule. When $ x=27 $ satisfies the equation $ 7x-15=6(x+2) $ , it means that $ x=27 $ is the solution of this equation.