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Linear equationsAlgebraMiddle schoolabout 0:40

Solve 4x + 1 = 7: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 3/2 ≈ 1.5.

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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 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Solving an equation
$4~ x+1 = 7$
2. Step by step
1. $4~ x+1 = 7$
  Start with the equation
2. $4x = 6$
  Subtract 1 from both sides
3. $x = \frac{6}{4} = \frac{3}{2}$
  Divide both sides by 4
3. The answer
$x = \frac{3}{2} \approx 1.5$
x = 3/2 ≈ 1.5
4. Check
- x = 1.5: left side = 7, right side = 7 ✓

Transcript

The problem. Here is the problem: 4x plus 1 equals 7. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Subtract 1 from both sides. Divide both sides by 4.

The answer. So the answer is x equals 3 over 2 approximately 1.5. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 1.5: left side equals 7, right side equals 7, which checks out.

About linear equations

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

Solve 4x + 1 = 7: Linear equations Step-by-Step Lesson