< 6-x
Multiply both sides by 7 to clear the fraction:
< 7·(6-x)
Cancel 7's on the left and distribute on the right:
< 42-7x
6+x < 42-7x
Add 7x to both sides:
6+8x < 42
Subtract 6 from both sides:
8x < 36
Divide both sides by 8 (We do not reverse the < because 8 is positive)
<
Cancel the 8's on the left and reduce the fraction on the right:
<
x <
Edwin