To solve the equation:
\[ 5(2x + 4) = 7x + 3x + 4 \]
First, simplify both sides.
The left side: \[ 5(2x + 4) = 10x + 20 \]
The right side: \[ 7x + 3x + 4 = 10x + 4 \]
Now the equation looks like: \[ 10x + 20 = 10x + 4 \]
Next, we can simplify this:
Subtract \(10x\) from both sides: \[ 20 = 4 \]
This statement is false and shows a contradiction. Since there's no value of \(x\) that can satisfy this equation, we conclude that:
There are no solutions to this equation.