5x = (2x-2) (m+6)

Solve for x

Step-by-step explanation:

hello:

5x = (2x-2) (m+6) equivalent : 5x = 2xm+12x-2m-12

5x-2xm - 12x=-2m-12

x (5-2m-12) = - 2m-12

x (-7-2m) = - 2m-12

x (2m+7) = 2m+12

if : 2m+7 ≠ 0 means m ≠ - 7/2 so : x = (2m+12) / (2m+7)

if : 2m+7 = 0 means : m = - 7/2 you have : x (0) = 2 (-7/2) + 12

0 = 5 (false) ... x no exist