Question

How do you solve \[2x+9=x+7\]?

Answer 1

Hint: For the given question we are given to solve the equation \[2x+9=x+7\]. For that we have to observe the equation that we could solve the equation by examining the equation. To get the solution we have to rewrite the equation by sending all variables to right hand side and all x co-efficient to left hand side and then we have to arrange them and after arranging we have to complete the solution

Complete step by step solution:
For the given equation first we have to arrange the problem as it is like the problem was given
\[2x+9=x+7\]
Now we have to send all the variables of the equation on to the right hand side
\[\Rightarrow 2x=x+11-9\]
And now we have to subtract the variable in the equation which is present on the right hand side
\[\Rightarrow 2x=x+2\]
Now we have to send all the x coefficient of the equation on to the left hand side
\[\Rightarrow 2x-x=2\]
And now we have to subtract the x coefficient of the equation which is present on the left hand side
\[\Rightarrow x=2\]
Therefore ,the numerical above this is the exact solution of the given problem

Note: We can also do this problem by by sending all the x coefficient to left hand side and all the variables to right hand side by using few steps but we did this in this model because to get clarified to students without any doubts and students should not get confused by seeing the equation. If students got confused you may read the question several times.