Question

Combine like terms. Then, solve for x.
4x - 7 + 2x = 11
[?]x - 7 = 11 (4x + 2x goes in the [?])
x = [?]

Answer 1

First, let's combine the like terms on the left side of the equation:

Given:
\[ 4x - 7 + 2x = 11 \]

Combine \( 4x \) and \( 2x \):
\[ (4x + 2x) - 7 = 11 \]
\[ 6x - 7 = 11 \]

Now, we can fill in the first part of your question:
\[ 6x - 7 = 11 \]

Next, we will solve for \( x \). First, add 7 to both sides:
\[ 6x - 7 + 7 = 11 + 7 \]
\[ 6x = 18 \]

Now, divide by 6:
\[ x = \frac{18}{6} \]
\[ x = 3 \]

So, the solution for \( x \) is:
\[ x = 3 \]

In summary:
- The equation becomes \( 6x - 7 = 11 \) (so, the answer to the first part is \( 6 \))
- The value of \( x \) is \( 3 \) (so, the answer to the second part is \( 3 \))