What is the solution of 3 x plus 5 is equal to 2 x minus 7 ?

The equation 3x + 5 = 2x − 7 sets the two line expressions equal, so it asks where the lines y = 3x + 5 and y = 2x − 7 have the same y-value. Their intersection occurs when 3x + 5 = 2x − 7; solving gives x = −12. Thus the solution represents the x-coordinate of the intersection point, which is choice C.

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