Question

Mikayla and Jesse both solved the equation x−15=12−8
𝑥
−
15
=
12
−
8
, using substitution. Mikayla says the answer is x=19
𝑥
=
19
, and Jesse says the answer is x=27
𝑥
=
27
. Which student is correct, and how do you know? Show your work and explain your thinking.

Answer 1

can you summarize this?

Answer 2

nvm

Answer 3

To solve the equation \( x - 15 = 12 - 8x \), let's go through the steps step-by-step and determine which student is correct.

### Step 1: Write down the equation
\[
x - 15 = 12 - 8x
\]

### Step 2: Move all the \( x \) terms to one side
To do this, we can add \( 8x \) to both sides:
\[
x + 8x - 15 = 12
\]
This simplifies to:
\[
9x - 15 = 12
\]

### Step 3: Add 15 to both sides
Next, we add 15 to both sides to isolate the term with \( x \):
\[
9x = 12 + 15
\]
This simplifies to:
\[
9x = 27
\]

### Step 4: Divide both sides by 9
Now, we divide both sides by 9 to solve for \( x \):
\[
x = \frac{27}{9}
\]
This simplifies to:
\[
x = 3
\]

### Conclusion
After going through the calculations, we find that \( x = 3 \).

Mikayla's answer of \( x = 19 \) and Jesse's answer of \( x = 27 \) are both incorrect. The correct value of \( x \) is \( 3 \).