Question

How do you solve $2x+5=3x-7$ ?

Answer 1

Hint: The equation given in the question is a linear equation in one variable so we can solve it by bringing all the x t sides and all constant to the other side. Then we will divide Both LHS and RHS by the coefficient of x to find the value of x.

Complete step-by-step answer:
The given equation is $2x+5=3x-7$ which is a linear equation in one variable
So let’s bring all the x to LHS and all constant to RHS , we can see 3x is present in RHS
So subtracting 3x from LHS and RHS we get
-x + 5= -7
Subtracting 5 from both sides we get
$\Rightarrow -x=-12$
Now diving RHS and LHS by -1 we get x as 12
So 12 is the solution of $2x+5=3x-7$

Note: We can check whether our answer is correct or not putting the answer in the equation, so putting 12 in the equation $2x+5=3x-7$ we get 24 +5 = 36 – 7 which is correct so 12 is the correct answer. We can solve the equation by graphical method, to solve $2x+5=3x-7$ we can draw the graph of y = 2x + 5 and y = 3x -7, the intersection point is the solution of the equation.
We know that both the equations will form a straight line so maximum 1 solution will exist for the equation. The equation will have no solution if both the lines will be parallel.