Solve for x to determine if the equation has one, none, or infinite solutions.

5(2x+2)−7x=3x+6 (1 point)
Responses

The equation has one solution: x=6.
The equation has one solution: x equals 6 .

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=10.

3 answers

To solve the equation, we will first distribute the 5 to terms inside the parentheses:

10x + 10 - 7x = 3x + 6

Next, we will combine like terms on both sides of the equation:

(10x - 7x - 3x) + (10 - 6) = 0

Simplifying further:

0x + 4 = 0

Since we have a constant on one side of the equation and a non-zero constant on the other side, we can determine that the equation has no solution.
choose one
The equation has no solution.
Similar Questions
  1. How Many Solutions? Quick Check3 of 53 of 5 Items Question Solve for x to determine if the equation has one, none, or infinite
    1. answers icon 2 answers
  2. 8th grade Math Lesson 2-7 Practice problems1. Solve and determine if the equation has one, none or infinite solutions. -11 + x =
    1. answers icon 1 answer
    1. answers icon 1 answer
  3. Solve for x to determine if the equation has one, none, or infinite solutions.5(2x+2)−7x=3x+6 (1 point) Responses The equation
    1. answers icon 2 answers
more similar questions