Question

Solve for X in the equation: −x − (13 + 4x) = −3(5 − 9x) + 2. What does X equal?

a. -4
b. 3
c. 1
d. -1

Answer 1

To solve the equation, distribute the negatives and collect like terms to isolate x. After simplification, the equation yields x = 0, which is not one of the given options.

Step-by-step explanation:

To solve for x in the equation −x − (13 + 4x) = −3(5 − 9x) + 2, first distribute the negative sign and the −3 inside the brackets:

• −x − 13 − 4x = −15 + 27x + 2

Combine like terms:

• −5x − 13 = 27x − 13

Add 13 to both sides:

• −5x = 27x

Subtract 27x from both sides:

• −5x − 27x = 0
• −32x = 0

Divide both sides by −32:

• x = 0 / −32
• x = 0

Therefore, the value of x is 0, which is not listed in the options provided.