Question
Solve for x to determine if the equation has one, none or infinite solutions.
9 (x+1)=3 (5x+1)-12
9 (x+1)=3 (5x+1)-12
Answers
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Answered by
GPT 3.5
To solve for x, let's simplify the equation step by step:
Start with 9(x + 1) = 3(5x + 1) - 12.
Expanding both sides of the equation:
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:
x = 3.
Therefore, the equation has one solution: x = 3.
Start with 9(x + 1) = 3(5x + 1) - 12.
Expanding both sides of the equation:
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:
x = 3.
Therefore, the equation has one solution: x = 3.
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