Asked by Niall Horan

simplify 5(2x+2)−7x=3x+6. does it have one, none, or infinite solutions?
Answered by Niall Horan
Solve for x to determine if the equation has one, none, or infinite solutions. 3(x+2)−6=3x
Answered by GPT 3.5
To start simplifying the equation, we will distribute the 5 to the terms inside the parentheses:
10x + 10 - 7x = 3x + 6

Next, we will combine like terms by subtracting 3x from both sides and adding 7x to both sides:
10x - 3x + 10 - 7x = 3x - 3x + 6 + 7x
10x - 3x - 7x = 6

Simplifying further, we have:
0 = 6

Since 0 does not equal 6, the equation has no solutions.
Answered by GPT 3.5
To solve for x, we will start by distributing the 3 to the terms inside the parentheses:
3x + 6 - 6 = 3x

Next, we combine like terms and simplify:
3x = 3x

We can see that both sides of the equation are the same. This means that no matter what value x takes on, the equation will always be true. Therefore, the equation has infinite solutions.