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Linear equationsAlgebraMiddle schoolabout 0:58

Solve 3(x + 8) = 4x - 3: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 27.

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.4 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Solving an equation
    3 (x+8)=4 x−33~\left( x+8\right) = 4~ x-3
  2. 2. Steps, part 1
    1. 3 (x+8)=4 x−33~\left( x+8\right) = 4~ x-3
      Start with the equation
    2. 3x+24=4x−33x + 24 = 4x - 3
      Simplify each side (distribute and combine like terms)
    3. −x+24=−3-x + 24 = -3
      Subtract 4x from both sides
    4. −x=−27-x = -27
      Subtract 24 from both sides
  3. 3. Steps, part 2
    1. x=−27−1=27x = \frac{-27}{-1} = 27
      Divide both sides by -1
  4. 4. On the graph
    24252627282930x = 27
    Each solution is where the graph of left side minus right side crosses zero.
  5. 5. The answer
    x=27x = 27

    x = 27

  6. 6. Check
    • x = 27: left side = 105, right side = 105 ✓

Transcript

The problem. Here is the problem: 3(x plus 8) equals 4x minus 3. A linear equation in x: isolate x using inverse operations.

Steps, part 1. Start with the equation. Simplify each side (distribute and combine like terms). Subtract 4x from both sides. Subtract 24 from both sides.

Steps, part 2. Divide both sides by negative 1.

On the graph. Now look at the graph of the left side minus the right side. It crosses zero exactly at the solutions we found.

The answer. So the answer is x equals 27. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 27: left side equals 105, right side equals 105, which checks out.

About linear equations

Solve one-variable linear equations, including ones with brackets and fractions, and check the solution.

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Solve 3(x + 8) = 4x - 3: Animated Step-by-Step Lesson