Solve a problem

Linear equationsAlgebraMiddle schoolabout 0:49

Solve 0.5x + 1.25 = 3: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 7/2 ≈ 3.5.

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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
$0.5~ x+1.25 = 3$
2. Step by step
1. $0.5~ x+1.25 = 3$
  Start with the equation
2. $\frac{1}{2}x + \frac{5}{4} = 3$
  Simplify each side (distribute and combine like terms)
3. $\frac{1}{2}x = \frac{7}{4}$
  Subtract 5/4 from both sides
4. $x = \frac{7}{4} \div \frac{1}{2} = \frac{7}{2}$
  Divide both sides by 1/2 (multiply by its reciprocal)
3. The answer
$x = \frac{7}{2} \approx 3.5$
x = 7/2 ≈ 3.5
4. Check
- x = 3.5: left side = 3, right side = 3 ✓

Transcript

The problem. Here is the problem: 0.5x plus 1.25 equals 3. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Simplify each side (distribute and combine like terms). Subtract 5 over 4 from both sides. Divide both sides by 1 over 2 (multiply by its reciprocal).

The answer. So the answer is x equals 7 over 2 approximately 3.5. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 3.5: left side equals 3, right side equals 3, which checks out.

About linear equations

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

Solve 0.5x + 1.25 = 3: Linear equations Step-by-Step Lesson