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Solving 3x + 7 = 2x − 5

A linear equation on the board: the unknown gathered on one side, the answer found, then both sides checked with it.

  • 0:48
  • Maths problems
  • Narrated by Erinome
  • English

Made from a prompt

Solve for x: 3x + 7 = 2x − 5

Video transcript

In this video, we solve a linear equation by collecting the unknown on one side.

Question one. Solve for x: three x plus seven equals two x minus five.

Let us solve it. First, subtract two x from both sides to get x plus seven equals negative five.

Now subtract seven from both sides, so x equals negative twelve. To check, the left side becomes three times negative twelve plus seven, which equals negative twenty-nine.

The right side becomes two times negative twelve minus five, which also equals negative twenty-nine.

Both sides agree, confirming the solution. Hence, x equals negative twelve.

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