Simplify 1/6x to x/6
x/6 < 1/3(4x + 3)
Simplify 1/3(4x + 3) to 4x + 3/3
x/6 < 4x + 3/3
Simplify 4x + 3/3 to 1 + 4x/3
x/6 < 1 + 4x/3
Multiply both sies by 6 (The LCM of 6,3)
x < 6 + 8x
Subtract 8x from both sides
x - 8x < 6
Divide both sides by -7
x > -6/7