To solve the equation, we must first simplify it. We start by distributing 5 to both terms inside the parentheses:
5(2x + 2) - 4 = 2x + 6
10x + 10 - 4 = 2x + 6
10x + 6 = 2x + 6
Now we can isolate the variable by subtracting 2x and 6 from both sides:
10x + 6 - 2x - 6 = 2x + 6 - 2x - 6
8x = 0
To find the value of x, we divide both sides by 8:
8x/8 = 0/8
x = 0
Therefore, the equation has one solution: x = 0. So the correct response is "The equation has one solution: x=0."
Solve for x to determine if the equation has one, none, or infinite solutions. 5(2x+2)−4=2x+6 (1 point) Responses The equation has one solution: x=0. The equation has one solution: x equals 0 . The equation has one solution: x=1. The equation has one solution: x equals 1 . The equation has no solution. The equation has no solution. The equation has infinite solutions.
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