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Linear equationsAlgebraMiddle schoolabout 0:53

Solve -4(x + 2) = 6x + 1: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = -9/10 ≈ -0.9.

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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
$-4~\left( x+2\right) = 6~ x+1$
2. Steps, part 1
1. $-4~\left( x+2\right) = 6~ x+1$
  Start with the equation
2. $-4x - 8 = 6x + 1$
  Simplify each side (distribute and combine like terms)
3. $-10x - 8 = 1$
  Subtract 6x from both sides
4. $-10x = 9$
  Add 8 to both sides
3. Steps, part 2
1. $x = \frac{9}{-10} = -\frac{9}{10}$
  Divide both sides by -10
4. The answer
$x = -\frac{9}{10} \approx -0.9$
x = -9/10 ≈ -0.9
5. Check
- x = -0.9: left side = -4.4, right side = -4.4 ✓

Transcript

The problem. Here is the problem: negative 4(x plus 2) equals 6x plus 1. A linear equation in x: isolate x using inverse operations.

Steps, part 1. Start with the equation. Simplify each side (distribute and combine like terms). Subtract 6x from both sides. Add 8 to both sides.

Steps, part 2. Divide both sides by negative 10.

The answer. So the answer is x equals negative 9 over 10 approximately negative 0.9. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals negative 0.9: left side equals negative 4.4, right side equals negative 4.4, which checks out.

About linear equations

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

Solve -4(x + 2) = 6x + 1: Animated Step-by-Step Lesson