Solve a problem

Linear equationsAlgebraMiddle schoolabout 0:44

Solve for t: 3t - 7 = 2t + 5: animated lesson

A narrated, step-by-step linear equations video lesson with captions. Final answer: t = 12.

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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
$3~\mathrm{t}-7 = 2~\mathrm{t}+5$
2. Step by step
1. $3~\mathrm{t}-7 = 2~\mathrm{t}+5$
  Start with the equation
2. $3t - 7 = 2t + 5$
  Simplify each side (distribute and combine like terms)
3. $t - 7 = 5$
  Subtract 2t from both sides
4. $t = 12$
  Add 7 to both sides
3. The answer
$t = 12$
t = 12
4. Check
- t = 12: left side = 29, right side = 29 ✓

Transcript

The problem. Here is the problem: 3t minus 7 equals 2t plus 5. A linear equation in t: isolate t using inverse operations.

Step by step. Start with the equation. Simplify each side (distribute and combine like terms). Subtract 2t from both sides. Add 7 to both sides.

The answer. So the answer is t equals 12. Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves t alone.

Check. t equals 12: left side equals 29, right side equals 29, which checks out.

About linear equations

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

Solve for t: 3t - 7 = 2t + 5: Animated Step-by-Step Lesson