Question

Combine like terms. Then, solve for x.
4x - 5 + 3x = 30
[?]x - 5 = 30 (4x + 3x goes in the [?])
x = [?]

Answer 1

To combine like terms in the equation \(4x - 5 + 3x = 30\):

1. Add the \(x\) terms together:
\[
4x + 3x = 7x
\]

2. Substitute back into the equation:
\[
7x - 5 = 30
\]

Now, to solve for \(x\):

3. Add 5 to both sides of the equation:
\[
7x - 5 + 5 = 30 + 5
\]
\[
7x = 35
\]

4. Divide both sides by 7:
\[
x = \frac{35}{7}
\]
\[
x = 5
\]

Thus, you can fill in the answers as follows:
- \([?] = 7\) (for the coefficient of \(x\))
- \([?] = 5\) (for the value of \(x\))

So the final answers are:
- \([?]x - 5 = 30\) is \(7x - 5 = 30\)
- \(x = 5\)