Final answer:
The correct answer is Option A. x = 1. The equation 4(3x-1) = 9-x is solved by first distributing the 4 and then moving terms to get 13x = 13, which simplifies to x = 1.
Step-by-step explanation:
The student is asking how to solve the equation 4(3x-1) = 9-x. To solve for x, begin by distributing the 4 across the parentheses: 12x - 4 = 9 - x. Next, add x to both sides to get all x terms on one side and add 4 to both sides to move constants to the other: 12x + x = 9 + 4, resulting in 13x = 13. Finally, divide by 13 to isolate x: x = 1.
To solve the equation 4(3x-1) = 9-x, we will first simplify both sides of the equation by distributing the 4 on the left side. This gives us 12x - 4 = 9 - x.
Next, we will combine like terms by adding x to both sides of the equation. This gives us 13x - 4 = 9.
Finally, we will solve for x by adding 4 to both sides and then dividing by 13. This gives us x = 13/13, which simplifies to x = 1. Therefore, the correct answer is A. x = 1.