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Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3 x minus 5 = negative 2 x + 10? Select two options.

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To isolate the variable terms on one side and the constant terms on the other side for the equation \(3x - 5 = -2x + 10\), we can follow these steps:

  1. Add \(2x\) to both sides to get all \(x\) terms on the left side: \[ 3x + 2x - 5 = 10 \] which simplifies to: \[ 5x - 5 = 10 \]

  2. Add \(5\) to both sides to get all constant terms on the right side: \[ 5x = 10 + 5 \] which simplifies to: \[ 5x = 15 \]

Putting both transformations together, we can express the original equation as:

  • \(5x - 5 = 10\)
  • \(5x = 15\)

Thus, the two equations that show the variable terms isolated on one side and the constant terms isolated on the other side are:

  1. \(5x - 5 = 10\)
  2. \(5x = 15\)

These two options correctly isolate variable and constant terms on opposite sides.