Question

Solve for x to determine if the equation has one, none, or infinite solutions. 4 x = 3 ( x + 5 ) − 15 (1 point) Responses The equation has one solution: x = 0 . The equation has one solution: x equals 0 . The equation has infinite solutions. The equation has infinite solutions. The equation has one solution: x = − 10 . The equation has one solution: x equals negative 10 . The equation has no solution. The equation has no solution. Skip to navigation page 13 of 13

Answer 1

Solve for x to determine if the equation has one, none, or infinite solutions. 5 ( 2 x + 2 ) − 7 x = 3 x + 6 (1 point) Responses 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 = 6 . The equation has one solution: x equals 6 . The equation has one solution: x = 10 . The equation has one solution: x equals 10 . Skip to navigation page 13 of 13

Answer 2

The equation simplifies to 4x = 3x + 15 - 15.

Combining like terms, we get:

4x = 3x

Subtracting 3x from both sides, we get:

x = 0

Therefore, the equation has one solution: x = 0.

Answer 3

Let's solve the equation:

5(2x + 2) - 7x = 3x + 6
10x + 10 - 7x = 3x + 6
3x + 10 = 3x + 6
10 = 6

Since the equation simplifies to a false statement, there is no solution for x.

The equation has no solution.