5x + 7 = 3x - 5
First, subtract 3x from both sides.
Second, keep the 7 and subtract the 5x - 3x to get 2x.
Third, subtract the 7 from both sides.
Fourth, simplify -5 - 7.
Fifth, take the 2 and divide it on both sides, leaving just x in its place.
Sixth, since 6 goes into 2 to get 12, simplify the fraction to 6.

Answer:
x = -6