x + 3/12 = 7/6 + (x + 6)/4
Simpliby 3/12 to 1/4:
x + 1/4 = 7/6 + (x + 6)/4
Multiply both sides by 12, the lowest common denominator:
12[x + 1/4] = 12[7/6 + (x + 6)/4]
Use the distributive property:
12x + 3 = 14 + 3(x + 6)
Simplify:
12x + 3 = 14 + 3x + 18
Simplify:
12x + 3 = 3x + 32
Subtract 3x from both sides:
9x + 3 = 32
Subtract 3 from both sides:
9x = 29
Divide both sides by 3:
x = 29/9