The equation 10x+13=−12 is solved as follows. Enter the correct numbers to complete the solution.(1 point) 10x+13=−12 10x= Subtract 13 from both sides of the equation. x= Divide both sides of the equation by 10. If the answer is an improper fraction, enter the improper fraction.

1 answer

Let's solve the equation step by step.

Starting with the equation:

\[ 10x + 13 = -12 \]

  1. Subtract 13 from both sides: \[ 10x + 13 - 13 = -12 - 13 \] \[ 10x = -25 \]

  2. Divide both sides by 10: \[ x = \frac{-25}{10} \] \[ x = -\frac{25}{10} \] \[ x = -\frac{5}{2} \]

Now let's fill in the required parts:

  • After subtracting 13 from both sides, we had:
    10x = −25

  • After dividing both sides by 10, we found:
    x = −\frac{25}{10} or −\frac{5}{2}

In a single line, the completed solution looks like:

10x + 13 = −12
10x = −25
x = −\frac{25}{10} or x = −\frac{5}{2}.

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