Final answer:
The expression 6h+5(x+h) simplifies to 5x+11h by distributing the 5 and combining like terms.
Step-by-step explanation:
We are looking for expressions equivalent to 6h+5(x+h). To simplify this, we can distribute the 5 across the terms within the parentheses.
So, 6h + 5(x + h) = 6h + 5x + 5h. Combine like terms, that is, terms with the same variable. We combine 6h and 5h to get 11h.
Therefore, the simplified equivalent expression is 5x + 11h.