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Linear equationsAlgebraMiddle schoolabout 0:42

Solve -2x + 7 = -10: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 17/2 ≈ 8.5.

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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
$-2~ x+7 = -10$
2. Step by step
1. $-2~ x+7 = -10$
  Start with the equation
2. $-2x = -17$
  Subtract 7 from both sides
3. $x = \frac{-17}{-2} = \frac{17}{2}$
  Divide both sides by -2
3. The answer
$x = \frac{17}{2} \approx 8.5$
x = 17/2 ≈ 8.5
4. Check
- x = 8.5: left side = -10, right side = -10 ✓

Transcript

The problem. Here is the problem: negative 2x plus 7 equals negative 10. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Subtract 7 from both sides. Divide both sides by negative 2.

The answer. So the answer is x equals 17 over 2 approximately 8.5. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 8.5: 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 -2x + 7 = -10: Linear equations Step-by-Step Lesson