Final answer:
The correct value of x for the equation 3(x - 6) = 8x - 3(3x + 7) is -3/4, which does not match any of the given options.
Step-by-step explanation:
To find which value of x makes the equation 3(x - 6) = 8x - 3(3x + 7) true, we need to simplify the equation by expanding the brackets and then collecting like terms. Let's solve step-by-step:
Expand the left side: 3x - 18.
Expand the right side: 8x - 9x - 21.
Combine like terms on the right side: -x - 21.
Set the equation equal: 3x - 18 = -x - 21.
Add x to both sides: 3x + x - 18 = -21.
Combine like terms on the left side: 4x - 18 = -21.
Add 18 to both sides: 4x = -3.
Divide by 4 to isolate x: x = -3/4.
None of the options provided (A, B, C, D) matches our solution.