Which statement is true about the equation 2(4x + 10) = 8x + 12? A. The equation has only one solution, x = 8. B. The equation has only one solution, x = –8. C. The equation has no solution. D. The equation has infinite solutions.

C. The equation has no solution

Step-by-step explanation:

We can tell by looking at the equation that number of possible solutions is one because the highest power is 1. However we do not know what the solution is exactly, so let's solve it.

First let us start by distributing the 2 to the (4x + 10) which gives us 8x +20 = 8x + 12

Now we can subtract 20 from both sides to give us 8x = 8x - 8

Now we can subtract 8x from both sides to give us 0 = -8

Since the x's have cancelled out, and 0 ≠ -8 there are no solutions for x that make this equation true

a

step-by-step explanation:

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