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Linear equationsAlgebraMiddle schoolabout 0:49

Solve x - 13 = -7x - 11: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 1/4 ≈ 0.25.

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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
$x-13 = -7~ x-11$
2. Step by step
1. $x-13 = -7~ x-11$
  Start with the equation
2. $8x - 13 = -11$
  Add 7x to both sides
3. $8x = 2$
  Add 13 to both sides
4. $x = \frac{2}{8} = \frac{1}{4}$
  Divide both sides by 8
3. The answer
$x = \frac{1}{4} \approx 0.25$
x = 1/4 ≈ 0.25
4. Check
- x = 0.25: left side = -12.75, right side = -12.75 ✓

Transcript

The problem. Here is the problem: x minus 13 equals negative 7x minus 11. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Add 7x to both sides. Add 13 to both sides. Divide both sides by 8.

The answer. So the answer is x equals 1 over 4 approximately 0.25. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 0.25: left side equals negative 12.75, right side equals negative 12.75, which checks out.

About linear equations

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

Solve x - 13 = -7x - 11: Animated Step-by-Step Lesson