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Linear equationsAlgebraMiddle schoolabout 1:00

Solve -x + 6 = -8x + 8: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 2/7 ≈ 0.28571429.

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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
$- x+6 = -8~ x+8$
2. Step by step
1. $- x+6 = -8~ x+8$
  Start with the equation
2. $7x + 6 = 8$
  Add 8x to both sides
3. $7x = 2$
  Subtract 6 from both sides
4. $x = \frac{2}{7} = \frac{2}{7}$
  Divide both sides by 7
3. The answer
$x = \frac{2}{7} \approx 0.28571429$
x = 2/7 ≈ 0.28571429
4. Check
- x = 0.28571429: left side = 5.7142857, right side = 5.7142857 ✓

Transcript

The problem. Here is the problem: negative x plus 6 equals negative 8x plus 8. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Add 8x to both sides. Subtract 6 from both sides. Divide both sides by 7.

The answer. So the answer is x equals 2 over 7 approximately 0.28571429. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 0.28571429: left side equals 5.7142857, right side equals 5.7142857, which checks out.

About linear equations

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

Solve -x + 6 = -8x + 8: Linear equations Step-by-Step Lesson