Solve the Linear Equation: x + 8 + 3x - 4 = 0

x+8+3x4=0 x+8+3x-4=0

x=? x=\text{?}

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Step-by-step video solution

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00:00 Find X
00:03 Collect terms
00:13 Arrange the equation so that one side has only the unknown X
00:22 Isolate X
00:30 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

x+8+3x4=0 x+8+3x-4=0

x=? x=\text{?}

2

Step-by-step solution

To solve the linear equation x+8+3x4=0 x + 8 + 3x - 4 = 0 , follow these steps:

  • Step 1: Combine like terms.
    Combine the terms involving x x , specifically x+3x=4x x + 3x = 4x .
    Combine the constant terms, specifically 84=4 8 - 4 = 4 .
    The equation becomes 4x+4=0 4x + 4 = 0 .
  • Step 2: Isolate the variable x x .
    Subtract 4 from both sides to get 4x=4 4x = -4 .
  • Step 3: Solve for x x .
    Divide both sides by 4 to solve for x x , resulting in x=1 x = -1 .

Therefore, the solution to the equation is x=1 x = -1 .

3

Final Answer

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\( x+x=8 \)

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