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Linear equationsAlgebraMiddle schoolabout 0:54

Solve 1(x + 7) = -3x + 6: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = -1/4 ≈ -0.25.

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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
$1~\left( x+7\right) = -3~ x+6$
2. Steps, part 1
1. $1~\left( x+7\right) = -3~ x+6$
  Start with the equation
2. $x + 7 = -3x + 6$
  Simplify each side (distribute and combine like terms)
3. $4x + 7 = 6$
  Add 3x to both sides
4. $4x = -1$
  Subtract 7 from both sides
3. Steps, part 2
1. $x = \frac{-1}{4} = -\frac{1}{4}$
  Divide both sides by 4
4. The answer
$x = -\frac{1}{4} \approx -0.25$
x = -1/4 ≈ -0.25
5. Check
- x = -0.25: left side = 6.75, right side = 6.75 ✓

Transcript

The problem. Here is the problem: 1(x plus 7) equals negative 3x plus 6. 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). Add 3x to both sides. Subtract 7 from both sides.

Steps, part 2. Divide both sides by 4.

The answer. So the answer is x equals negative 1 over 4 approximately negative 0.25. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals negative 0.25: left side equals 6.75, right side equals 6.75, which checks out.

About linear equations

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

Solve 1(x + 7) = -3x + 6: Animated Step-by-Step Lesson