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Linear equationsAlgebraMiddle schoolabout 0:42

Solve 8x + 8 = -12: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = -5/2 ≈ -2.5.

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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 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Solving an equation
$8~ x+8 = -12$
2. Step by step
1. $8~ x+8 = -12$
  Start with the equation
2. $8x = -20$
  Subtract 8 from both sides
3. $x = \frac{-20}{8} = -\frac{5}{2}$
  Divide both sides by 8
3. The answer
$x = -\frac{5}{2} \approx -2.5$
x = -5/2 ≈ -2.5
4. Check
- x = -2.5: left side = -12, right side = -12 ✓

Transcript

The problem. Here is the problem: 8x plus 8 equals negative 12. A linear equation in x: isolate x using inverse operations.

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

The answer. So the answer is x equals negative 5 over 2 approximately negative 2.5. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals negative 2.5: left side equals negative 12, right side equals negative 12, which checks out.

About linear equations

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

Solve 8x + 8 = -12: Linear equations Step-by-Step Lesson