The given equation is expressed as
8x - 1 = 7x
the first step is to add 1 to both sides of the equation. It becomes
8x - 1 + 1 = 7x + 1
8x = 7x - 1
The next step is to subtract 7x from both sides of the equation. It becomes
8x - 7x = 7x - 7x + 1
x = 1
To check the solution, we would substitute x = 1 into the equation. Both sides should give us the same value. It becomes
8(1) - 1 = 7(1)
8 - 1 = 7
7 = 7