17x-22x=1/2

17x - 22x = 1/2

-5x = 1/2
x = (1/2)/(-5)
x = -1/10

-5x = 1/2

-5x/5 = 1/2 divided by 5

= -.1

To solve the equation 17x - 22x = 1/2, we can combine like terms on the left side of the equation.

First, let's simplify the expression on the left side by combining the x terms:
17x - 22x = -5x

Now, the equation becomes -5x = 1/2.

To isolate x, we need to get rid of the coefficient of -5. We can do this by multiplying both sides of the equation by the reciprocal of -5, which is -1/5:

(-1/5)(-5x) = (-1/5)(1/2)

This simplifies to:
x = -1/10

So, the solution to the equation 17x - 22x = 1/2 is x = -1/10.