To rewrite the left side of the equation \(5(2x + 4) = 7x + 3x + 4\) without parentheses, you should distribute the \(5\) to both terms inside the parentheses. Here's how you can do it:
- Distribute the 5: \[ 5(2x) + 5(4) = 10x + 20 \]
So, the equation becomes: \[ 10x + 20 = 7x + 3x + 4 \]
Now, on the right side, we can combine like terms: \[ 10x + 20 = (7x + 3x) + 4 \implies 10x + 20 = 10x + 4 \]
Now the equation is easier to work with, as it is now \(10x + 20 = 10x + 4\). You can proceed to isolate \(x\) from here.
However, since both sides have \(10x\), you can subtract \(10x\) from both sides: \[ 20 = 4 \]
This statement is false, which implies that there are no solutions for \(x\) in the given equation. Thus, the original equation is inconsistent.