Solve a problem

Linear equationsAlgebraMiddle schoolabout 0:43

Solve for x: -8x + 11 = 0: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 11/8 ≈ 1.375.

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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
$-8~ x+11 = 0$
2. Step by step
1. $-8~ x+11 = 0$
  Start with the equation
2. $-8x = -11$
  Subtract 11 from both sides
3. $x = \frac{-11}{-8} = \frac{11}{8}$
  Divide both sides by -8
3. The answer
$x = \frac{11}{8} \approx 1.375$
x = 11/8 ≈ 1.375
4. Check
- x = 1.375: left side = 0, right side = 0 ✓

Transcript

The problem. Here is the problem: negative 8x plus 11 equals 0. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Subtract 11 from both sides. Divide both sides by negative 8.

The answer. So the answer is x equals 11 over 8 approximately 1.375. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 1.375: left side equals 0, right side equals 0, which checks out.

About linear equations

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

Solve for x: -8x + 11 = 0: Animated Step-by-Step Lesson