Question

what is the solution to this equation?
x + 14 = -6
a. x = 20
b. x = 8
c. x = -8
d. x = -20

Explanation:

Step1: Isolate the variable \( x \)

To solve for \( x \) in the equation \( x + 14 = -6 \), we need to subtract 14 from both sides of the equation. This is based on the subtraction property of equality, which states that if we subtract the same number from both sides of an equation, the equality still holds.
So, we perform the operation: \( x + 14 - 14 = -6 - 14 \)

Step2: Simplify both sides

Simplifying the left side: \( x + 14 - 14 = x \) (because 14 - 14 = 0)
Simplifying the right side: \( -6 - 14 = -20 \) (since we are subtracting a positive number from a negative number, we add their absolute values and keep the negative sign: \( |-6| + |-14| = 6 + 14 = 20 \), so the result is -20)
So we get \( x = -20 \)

Answer:

D. \( x = -20 \)