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Solve the following equation algebraically. Show your work.

17=−13−8x

1 answer

To solve the equation algebraically, we want to isolate the variable x on one side of the equation.

Starting with the equation 17 = -13 - 8x, we can add 13 to both sides to get rid of the -13 on the right side of the equation:

17 + 13 = -13 - 8x + 13

This simplifies to:

30 = -8x

Now we want to isolate x, so we divide both sides of the equation by -8:

30/-8 = -8x/-8

Simplifying further:

-3.75 = x

So the solution to the equation is x = -3.75.