show your work for 5x+5=5x+4

Answer 1

To solve the equation \(5x + 5 = 5x + 4\), we can follow these steps to isolate \(x\):

1. Start with the original equation: \[ 5x + 5 = 5x + 4 \]

2. Subtract \(5x\) from both sides to eliminate \(5x\) from both sides: \[ 5 = 4 \]

3. The result \(5 = 4\) is a false statement, which indicates that there are no values of \(x\) that will satisfy the original equation.

Therefore, the equation \(5x + 5 = 5x + 4\) is inconsistent, and there is no solution.