Question

Combine like terms. Then, solve for x.
6x + 8 + 6x = 92
[?]x + 8 = 92 (6x + 6x goes in the [?])
x = [?]

Answer 1

To combine like terms in the equation \(6x + 8 + 6x = 92\):

1. Combine the \(6x\) terms:
\[
6x + 6x = 12x
\]

2. Rewrite the equation:
\[
12x + 8 = 92
\]

To isolate \(x\), we'll subtract 8 from both sides:
\[
12x + 8 - 8 = 92 - 8
\]
This simplifies to:
\[
12x = 84
\]

Next, divide both sides by 12 to solve for \(x\):
\[
x = \frac{84}{12}
\]
This simplifies to:
\[
x = 7
\]

So, filling in the blanks:
\[
[?] = 12 \quad \text{and} \quad x = 7
\]