Solve a problem

DecimalsArithmeticElementary schoolabout 0:50

Calculate 1.5x + 2.25 = 6: animated lesson

A narrated, step-by-step decimals video lesson with captions. Final answer: x = 5/2 ≈ 2.5.

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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
$1.5~ x+2.25 = 6$
2. Step by step
1. $1.5~ x+2.25 = 6$
  Start with the equation
2. $\frac{3}{2}x + \frac{9}{4} = 6$
  Simplify each side (distribute and combine like terms)
3. $\frac{3}{2}x = \frac{15}{4}$
  Subtract 9/4 from both sides
4. $x = \frac{15}{4} \div \frac{3}{2} = \frac{5}{2}$
  Divide both sides by 3/2 (multiply by its reciprocal)
3. The answer
$x = \frac{5}{2} \approx 2.5$
x = 5/2 ≈ 2.5
4. Check
- x = 2.5: left side = 6, right side = 6 ✓

Transcript

The problem. Here is the problem: 1.5x plus 2.25 equals 6. 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 9 over 4 from both sides. Divide both sides by 3 over 2 (multiply by its reciprocal).

The answer. So the answer is x equals 5 over 2 approximately 2.5. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 2.5: left side equals 6, right side equals 6, which checks out.

About decimals

Add, subtract, multiply and divide decimal numbers, keeping track of the decimal point.

Calculate 1.5x + 2.25 = 6: Decimals Step-by-Step Lesson