Which algebraic expression is equivalent to the expression below?
10(7+5x)+14
A.
50x + 84
B.
50x + 56
C.
50x - 84
D.
5x + 84
To find the equivalent algebraic expression, we need to simplify the expression 10(7+5x) and then add 14.
Step 1: Distribute the 10 to both terms inside the parentheses:
10(7+5x) = 10(7) + 10(5x)
= 70 + 50x
Step 2: Add 14 to the simplified expression:
70 + 50x + 14
= 50x + 84
Therefore, the equivalent algebraic expression is 50x + 84. The correct answer is A.