How many solutions are in 7 (x+2) = 7x-10

7 (x + 2) = 7x - 10

7x + 14 = 7x - 10

let's recall the slope-intercept form, now, both equations on each side of the equals sign have the same slope, of 7, that is a flag that both equations are parallel.

their y-intercept is 14 and - 10 respectively, however that just means that one is above the other, but since they're parallel they will never touch each other and any solutions is where the graphs intersect, and for parallel lines that never happens, thus no solutions.