To solve for x in the equation 7/8x = -49, you need to isolate x. To do this, you can divide both sides of the equation by the coefficient of x, which in this case is 7/8. However, dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 7/8 is 8/7. So, you can multiply both sides of the equation by 8/7 to find x:
7/8x * 8/7 = -49 * 8/7
This simplifies to:
x = -49 * 8/7
Performing the multiplication gives:
x = -56
So, the solution to the equation 7/8x = -49 is x = -56.