Solve for x 100x -89x equals 110?

Answer 1

100x - 89x = 110

∴11x = 110

∴x = 10

In more detailed explanation;

The first line means "100 times x minus 89 times x equals 110"

We can apply the distributive rule here. Both "100x" and "89x" are divisible by x. This means we can factor it out of both terms giving us the expression:

x (100 - 89) = 110

We can then subtract 89 from 100, giving us:

x(11) = 110

or:

11x = 110

Finally, both sides are divisible by 11, so we can divide it from both sides, giving us:

x = 10