Let's solve the equation step by step:
The given equation is:
\[ 5(2x + 2) - 4 = 2x + 6 \]
- Distribute the 5 on the left side:
\[ 10x + 10 - 4 = 2x + 6 \] \[ 10x + 6 = 2x + 6 \]
- Now, subtract \(2x\) from both sides:
\[ 10x - 2x + 6 = 6 \] \[ 8x + 6 = 6 \]
- Next, subtract 6 from both sides:
\[ 8x = 0 \]
- Finally, divide by 8:
\[ x = 0 \]
Now, let's determine the type of solution:
Since we found one specific solution \(x = 0\), the equation has one solution.
Thus, the answer is:
The equation has one solution: x = 0.