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Linear equationsAlgebraMiddle schoolabout 0:58

Solve (x + 5)/5 + (x + 1)/2 = -10: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = -115/7 ≈ -16.428571.

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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 (0.4 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Solving an equation
$\frac{ x+5}{5}+\frac{ x+1}{2} = -10$
2. Step by step
1. $\frac{ x+5}{5}+\frac{ x+1}{2} = -10$
  Start with the equation
2. $\frac{7}{10}x + \frac{3}{2} = -10$
  Simplify each side (distribute and combine like terms)
3. $\frac{7}{10}x = -\frac{23}{2}$
  Subtract 3/2 from both sides
4. $x = -\frac{23}{2} \div \frac{7}{10} = -\frac{115}{7}$
  Divide both sides by 7/10 (multiply by its reciprocal)
3. The answer
$x = -\frac{115}{7} \approx -16.428571$
x = -115/7 ≈ -16.428571
4. Check
- x = -16.428571: left side = -10, right side = -10 ✓

Transcript

The problem. Here is the problem: (x plus 5)/5 plus (x plus 1)/2 equals negative 10. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Simplify each side (distribute and combine like terms). Subtract 3 over 2 from both sides. Divide both sides by 7 over 10 (multiply by its reciprocal).

The answer. So the answer is x equals negative 115 over 7 approximately negative 16.428571. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals negative 16.428571: left side equals negative 10, right side equals negative 10, which checks out.

About linear equations

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

Solve (x + 5)/5 + (x + 1)/2 = -10: Linear equations Lesson