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Linear equationsAlgebraMiddle schoolabout 0:56

Solve (x - 8)/5 + (x + 6)/4 = 1: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 22/9 ≈ 2.4444444.

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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
$\frac{ x-8}{5}+\frac{ x+6}{4} = 1$
2. Step by step
1. $\frac{ x-8}{5}+\frac{ x+6}{4} = 1$
  Start with the equation
2. $\frac{9}{20}x - \frac{1}{10} = 1$
  Simplify each side (distribute and combine like terms)
3. $\frac{9}{20}x = \frac{11}{10}$
  Add 1/10 to both sides
4. $x = \frac{11}{10} \div \frac{9}{20} = \frac{22}{9}$
  Divide both sides by 9/20 (multiply by its reciprocal)
3. The answer
$x = \frac{22}{9} \approx 2.4444444$
x = 22/9 ≈ 2.4444444
4. Check
- x = 2.4444444: left side = 1, right side = 1 ✓

Transcript

The problem. Here is the problem: (x minus 8)/5 plus (x plus 6)/4 equals 1. 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). Add 1 over 10 to both sides. Divide both sides by 9 over 20 (multiply by its reciprocal).

The answer. So the answer is x equals 22 over 9 approximately 2.4444444. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 2.4444444: left side equals 1, right side equals 1, which checks out.

About linear equations

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

Solve (x - 8)/5 + (x + 6)/4 = 1: Linear equations Lesson