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

Find the value of X

−4x=1+x -4x=1+x

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

Find the value of X

−4x=1+x -4x=1+x

2

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: −4x−x=1+x−x-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=1−5 x = \frac{1}{-5}.

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

3

Final Answer

−15 -\frac{1}{5}

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\( x+x=8 \)

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