Consider this equation: 4x – 5 + 6x = 6 which is an equivalent equation after combining like terms?

Like terms are terms that either share the same variable or are both contants, ex. 3y and 8y.

Combining like terms essentially means performing the given operations on the terms.

So in your problem, it would go like this.

4x-5+6x=6

We can add the 4x and 6x since they are like terms, with plus signs in front of each.

And so we get:

10x-5=6

However, there are still two constants, which means we can go further after combining those terms. By the addition law of equality, we can add five to both sides.

10x=11

This is the equation we get after combining like terms. It can be further simplified by dividing 10 from both sides, although that doesn't seem to be necessary for your problem.

Therefore the answer is 10x=11