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 one solution: x=3
.
The equation has one solution: x equals 3 .

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

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

The equation has one solution: x=0
.
The equation has one solution: x equals 20 .
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Answer 1

To solve for x, we can simplify the equation first:

9(x+1) = 3(5x+1) - 12

Expanding the brackets, we get:

9x + 9 = 15x + 3 - 12

Combine like terms:

9x + 9 = 15x - 9

Subtract 9x from both sides:

9 = 6x - 9

Add 9 to both sides:

18 = 6x

Divide both sides by 6:

3 = x

Therefore, the equation has one solution: x = 3.