To solve the equation 2x - 1 = 14 - x, we need to isolate x on one side of the equation.
Add x to both sides:
2x - 1 + x = 14 - x + x
3x - 1 = 14
Add 1 to both sides:
3x - 1 + 1 = 14 + 1
3x = 15
Divide both sides by 3:
3x / 3 = 15 / 3
x = 5
Now, let's check our solution by substituting x = 5 back into the original equation:
2x - 1 = 14 - x
2(5) - 1 = 14 - 5
10 - 1 = 9
9 = 9
Since the equation holds true, our solution x = 5 is correct.