Solve a problem

Linear equationsAlgebraMiddle schoolabout 0:45

Solve -3x + 2 = 1: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: x = 1/3 ≈ 0.33333333.

SpeedLanguage

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
$-3~ x+2 = 1$
2. Step by step
1. $-3~ x+2 = 1$
  Start with the equation
2. $-3x = -1$
  Subtract 2 from both sides
3. $x = \frac{-1}{-3} = \frac{1}{3}$
  Divide both sides by -3
3. The answer
$x = \frac{1}{3} \approx 0.33333333$
x = 1/3 ≈ 0.33333333
4. Check
- x = 0.33333333: left side = 1, right side = 1 ✓

Transcript

The problem. Here is the problem: negative 3x plus 2 equals 1. A linear equation in x: isolate x using inverse operations.

Step by step. Start with the equation. Subtract 2 from both sides. Divide both sides by negative 3.

The answer. So the answer is x equals 1 over 3 approximately 0.33333333. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Check. x equals 0.33333333: left side equals 1, right side equals 1, which checks out.

About linear equations

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

Solve -3x + 2 = 1: Linear equations Step-by-Step Lesson