Solve for x to determine if the equation has one, none, or infinite solutions. 3(x+2)−6=3x(1 point) Responses 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 infinite solutions. The equation has infinite solutions. The equation has one solution: x=−3.
To solve for x, first distribute on the left side:
3(x+2) - 6 = 3x
3x + 6 - 6 = 3x
3x = 3x
Subtract 3x from both sides:
3x - 3x = 0
0 = 0
Since 0=0 is a true statement, this equation has infinite solutions.