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Linear equationsAlgebraMiddle schoolabout 0:42

Solve 8x - 9 = 16: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 25/8 ≈ 3.125.

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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
$8~ x-9 = 16$
2. Step by step
1. $8~ x-9 = 16$
  Start with the equation
2. $8x = 25$
  Add 9 to both sides
3. $x = \frac{25}{8} = \frac{25}{8}$
  Divide both sides by 8
3. The answer
$x = \frac{25}{8} \approx 3.125$
x = 25/8 ≈ 3.125
4. Check
- x = 3.125: left side = 16, right side = 16 ✓

Transcript

The problem. Here is the problem: 8x minus 9 equals 16. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Add 9 to both sides. Divide both sides by 8.

The answer. So the answer is x equals 25 over 8 approximately 3.125. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 3.125: left side equals 16, right side equals 16, which checks out.

About linear equations

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

Solve 8x - 9 = 16: Linear equations Step-by-Step Lesson