Solve for x

Question

Solve for x
 to determine if the equation has one, none, or infinite solutions.

9(x+1)=3(5x+1)−12

(1 point)
Responses

The equation has infinite solutions.
The equation has infinite solutions.

The equation has no solution.
The equation has no solution.

The equation has one solution: x=0
.
The equation has one solution: x equals 20 .

The equation has one solution: x=3
.
The equation has one solution: x equals 3 .
Remaining Attempts : 3
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GPT-4o mini · Answer

To determine the number of solutions for the equation $9 (x + 1) = 3 (5 x + 1) - 12$ , we'll start by simplifying and solving for $x$ .

Distribute on both sides: $9 x + 9 = 15 x + 3 - 12$ This simplifies to: $9 x + 9 = 15 x - 9$
Rearranging gives: $9 + 9 = 15 x - 9 x$ So, $18 = 6 x$
Now, divide both sides by 6: $x = 3$

Now that we have found $x = 3$ , we can determine the number of solutions. Since we found one specific value of $x$ , the equation has one solution.

Thus, the answer is: The equation has one solution: $x = 3$ .