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Linear equationsAlgebraMiddle schoolabout 0:56

Solve -5x - 5 = 4x + 6: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = -11/9 ≈ -1.2222222.

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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
$-5~ x-5 = 4~ x+6$
2. Step by step
1. $-5~ x-5 = 4~ x+6$
  Start with the equation
2. $-9x - 5 = 6$
  Subtract 4x from both sides
3. $-9x = 11$
  Add 5 to both sides
4. $x = \frac{11}{-9} = -\frac{11}{9}$
  Divide both sides by -9
3. The answer
$x = -\frac{11}{9} \approx -1.2222222$
x = -11/9 ≈ -1.2222222
4. Check
- x = -1.2222222: left side = 1.1111111, right side = 1.1111111 ✓

Transcript

The problem. Here is the problem: negative 5x minus 5 equals 4x plus 6. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Subtract 4x from both sides. Add 5 to both sides. Divide both sides by negative 9.

The answer. So the answer is x equals negative 11 over 9 approximately negative 1.2222222. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals negative 1.2222222: left side equals 1.1111111, right side equals 1.1111111, which checks out.

About linear equations

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

Solve -5x - 5 = 4x + 6: Linear equations Step-by-Step Lesson