To solve this equation, we will simplify both sides and combine like terms.
First, distribute the 5 to the terms inside the parentheses:
5 * 2x + 5 * 2 - 7x = 3x + 6
10x + 10 - 7x = 3x + 6
Next, combine like terms on both sides of the equation:
(10x - 7x) + 10 = 3x + 6
3x + 10 = 3x + 6
Note that the 3x term cancels out on both sides of the equation, resulting in:
10 = 6
This is a contradiction because 10 cannot equal 6. Therefore, there are no solutions to this equation.
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=10. The equation has one solution: x equals 10 . The equation has one solution: x=6. The equation has one solution: x equals 6 . The equation has infinite solutions. The equation has infinite solutions. The equation has no solution.
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