Final answer:
To solve the equation 3(6x-1)=12 for x, distribute the 3, add 3 to both sides, then divide by 18 to find x = 5/6, which corresponds to option A) 5/6.
Step-by-step explanation:
We need to solve the equation for x: 3(6x−1)=12. First, distribute the 3 into the parentheses: 3 × 6x − 3 × 1 = 12, which simplifies to 18x − 3 = 12. To isolate the x term, add 3 to both sides of the equation: 18x − 3 + 3 = 12 + 3, resulting in 18x = 15. Finally, divide both sides by 18 to solve for x: 18x / 18 = 15 / 18 which simplifies to x = 15 / 18. When we reduce the fraction, we get x = 5 / 6, which is option A) 5/6.