x+7 = 1-5x
⇒ 5x+x = 1-7
⇒ 6x = -6
⇒ x = -6/6 = -1
Graphically :- The required solution is intersection point of lines y = x+7 and y = 1-5x
For drawing line y = x+7, we have
For drawing line y = 1-5x, we have
We observed that (-1, 6) is intersection point of lines.
Hence, solution of given equation is x = -1.