The sum of 38 and twice a number x is 124. What is −2x − 5?
Responses
A −101
B −91
C 46
D 86
Let's begin by setting up the equation as described:
The sum of 38 and twice a number x is 124, which can be written as:
38 + 2x = 124
Now we solve for x:
Subtract 38 from both sides of the equation:
2x = 124 - 38
2x = 86
Divide both sides by 2 to find x:
x = 86 / 2
x = 43
Now that we have the value of x, we are asked to find the value of −2x − 5.
Plug x = 43 into the expression −2x − 5:
−2(43) − 5
= −86 − 5
= −91
So, the correct answer is:
B −91