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The equation −2.4x−1.1=3.7

is solved as follows. Enter the correct numbers to complete the solution.(1 point)
−2.4x−1.1=3.7

−2.4x=

Add 1.1 to both sides of the equation. If the answer is a decimal value, enter the decimal.

x=

Divide both sides of the equation by -2.4. If the answer is a decimal value, enter the decimal.

1 answer

To solve the equation \(-2.4x - 1.1 = 3.7\), we'll perform the steps as follows:

  1. Add 1.1 to both sides:

    \(-2.4x - 1.1 + 1.1 = 3.7 + 1.1\)

    This simplifies to:

    \(-2.4x = 3.7 + 1.1\)

    Now calculate \(3.7 + 1.1\):

    \(3.7 + 1.1 = 4.8\)

    So we have:

    \(-2.4x = 4.8\)

  2. Divide both sides by -2.4:

    \(x = \frac{4.8}{-2.4}\)

    Now calculate \(\frac{4.8}{-2.4}\):

    \(4.8 \div -2.4 = -2.0\)

So, the completed solution is:

  1. For \(-2.4x = \), the answer is \(4.8\).
  2. For \(x = \), the answer is \(-2.0\).

Final answer:

  • \(-2.4x = 4.8\)
  • \(x = -2.0\)