Question

x+2(x+1)=17

Answer 1

To solve the equation \( x + 2(x + 1) = 17 \), follow these steps:

1. Distribute the \( 2 \) in the term \( 2(x + 1) \):
\[
2(x + 1) = 2x + 2
\]
So the equation becomes:
\[
x + 2x + 2 = 17
\]

2. Combine like terms:
\[
(x + 2x) + 2 = 17
\]
This simplifies to:
\[
3x + 2 = 17
\]

3. Subtract \( 2 \) from both sides:
\[
3x = 17 - 2
\]
This gives:
\[
3x = 15
\]

4. Divide both sides by \( 3 \):
\[
x = \frac{15}{3} = 5
\]

Thus, the solution to the equation is:
\[
\boxed{5}
\]