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Linear equationsAlgebraMiddle schoolabout 0:44

Solve 8x + 19 = -20: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = -39/8 ≈ -4.875.

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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 (0.3 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Solving an equation
$8~ x+19 = -20$
2. Step by step
1. $8~ x+19 = -20$
  Start with the equation
2. $8x = -39$
  Subtract 19 from both sides
3. $x = \frac{-39}{8} = -\frac{39}{8}$
  Divide both sides by 8
3. The answer
$x = -\frac{39}{8} \approx -4.875$
x = -39/8 ≈ -4.875
4. Check
- x = -4.875: left side = -20, right side = -20 ✓

Transcript

The problem. Here is the problem: 8x plus 19 equals negative 20. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Subtract 19 from both sides. Divide both sides by 8.

The answer. So the answer is x equals negative 39 over 8 approximately negative 4.875. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals negative 4.875: left side equals negative 20, right side equals negative 20, which checks out.

About linear equations

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

Solve 8x + 19 = -20: Linear equations Step-by-Step Lesson