Solve for x to determine if the equation has one, none, or infinite solutions. 3(x+2)−6=3x (1 point). The equation has no solution.The equation has no solution.The equation has one solution: x=3.The equation has one solution: x equals 3 .The equation has one solution: x=−3.The equation has one solution: x equals negative 3 .The equation has infinite solutions.

Question

Solve for x to determine if the equation has one, none, or infinite solutions. 3(x+2)−6=3x (1 point).      The equation has no solution.The equation has no solution.The equation has one solution: x=3.The equation has one solution: x equals 3 .The equation has one solution: x=−3.The equation has one solution: x equals negative 3 .The equation has infinite solutions.

GPT 3.5 · Answer

To solve for x, let's start by distributing the 3 to the terms inside the parentheses:

3 * x + 6 - 6 = 3x

Simplifying further, we get:

3x + 6 - 6 = 3x

The 6 and -6 cancel each other out:

3x = 3x

Since no matter what value we choose for x, both sides of the equation will always be equal, this means that the equation has infinite solutions.