Solve the Equation: Finding X in -4x = 1 + x

Question

Find the value of X

4x=1+x -4x=1+x

Video Solution

Solution Steps

00:00 Find X
00:03 Arrange the equation so that one side contains only the unknown X
00:09 Combine like terms
00:15 Isolate X
00:19 And this is the solution to the problem

Step-by-Step Solution

To solve the equation 4x=1+x -4x = 1 + x , let's follow these steps:

  • Step 1: Subtract xx from both sides of the equation to start isolating xx. This gives: 4xx=1+xx-4x - x = 1 + x - x.
  • Step 2: Simplify the equation. Combine like terms: 5x=1-5x = 1.
  • Step 3: Divide both sides by 5-5 to solve for xx: x=15 x = \frac{1}{-5}.

Therefore, the solution to the equation is x=15 x = -\frac{1}{5} .

Answer

15 -\frac{1}{5}