Question

How do you solve $ 4x + 1 = 5x - 2 $ ?

Answer 1

Hint: Solving this equation is pretty easy, all you have to do is bring all the unknown variables on the same side and then solve the constants on the other end. For this the first thing we will do is bring 4x to RHS and move -2 to LHS. In this we will successfully eliminate the variable. After solving the basic addition and subtraction, we will get our answer of x as 3.

Complete step-by-step solution:
The given question we have is $ 4x + 1 = 5x - 2 $ . Now, to solve this type of problem, all we have to do is to bring the unknown variables on the same side of the equation and then get the value from the other side. This process is the same to solve any linear equation with a single variable.
Therefore, bringing the like terms on the same side of the equation and solving we get;-
 $
  \Rightarrow 4x + 1 - 5x = - 2 \\
   \Rightarrow - x + 1 = - 2 \\
  $
Adding -2 on both the sides of the equation, we will get
 $ \Rightarrow - x + 1 + 2 = - 2 + 2 \\
   \Rightarrow - x + 3 = 0 \\
 $
Subtracting 3 from both the sides of the equation we will get
 $ \Rightarrow - x + 3 - 3 = - 3 \\
   \Rightarrow - x = - 3 \\
 $
Cancelling out the negative sign from both the sides, our final solution of the problem will be
 $
\Rightarrow - x = - 3 \\
\Rightarrow x = 3 \\
 $

Note: Solution of linear equation with single variable is quite easy to find. The only thing that people do wrong while solving a linear equation with a single variable is that they do the basic mathematical operations wrong. So take care of all the operations you do while solving and look how you ace this chapter.