Final answer:
The expression 25+6x-10(x+2) simplifies to 5-4x by applying the distributive property and combining like terms.
Step-by-step explanation:
The expression 25+6x-10(x+2) can be simplified by applying the distributive property to eliminate the parentheses. The distributive property states that a(b+c) = ab + ac. So, we distribute the -10 across the terms inside the parentheses.
-10(x+2) becomes -10x - 20. Now the expression is 25 + 6x - 10x - 20.
Next, we combine like terms. The like terms here are the constant terms (25 and -20) and the terms containing the variable x (6x and -10x). This gives us 5 - 4x, which is the simplified expression equivalent to the original expression given.
Therefore, the expression equivalent to 25 + 6x - 10(x + 2) is 5 - 4x.