The equation 10x+13=−12

Question

10
𝑥
+
13
=
−
12
is solved as follows. Enter the correct numbers to complete the solution.(1 point)
10x+13=−12
10
𝑥
+
13
=
−
12

10x=
10
𝑥
=
Subtract 13 from both sides of the equation.

x=
𝑥
=
Divide both sides of the equation by 10. If the answer is an improper fraction, enter the improper fraction.

Answer 1

Let's solve the equation step by step, filling in the missing numbers in the solution you provided.

Starting with the original equation: \[ 10x + 13 = -12 \]

Step 1: Subtract 13 from both sides

To isolate the term with \( x \), we subtract 13 from both sides: \[ 10x + 13 - 13 = -12 - 13 \] This simplifies to: \[ 10x = -25 \]

Step 2: Divide both sides by 10

Next, we divide both sides by 10 to solve for \( x \): \[ x = \frac{-25}{10} \]

Now we can simplify the fraction: \[ x = -\frac{25}{10} = -\frac{5}{2} \]

Final Completion

So, to fill in the blanks:

1. \( 10x = -25 \)
2. \( x = -\frac{5}{2} \)

Thus, the complete solution looks like:

1. \( 10x = -25 \) (after subtracting 13 from both sides)

2. \( x = -\frac{5}{2} \) (after dividing by 10)