Answer: x=24
Explanation:
x+5x/12=x/6+2x/3+14
Multiply both sides of the equation by 12, the least common multiple of 12,6,3.
12x+5x=2x+4×2x+168
Combine 12x and 5x to get 17x.
17x=2x+4×2x+168
Multiply 4 and 2 to get 8.
17x=2x+8x+168
Combine 2x and 8x to get 10x.
17x=10x+168
Subtract 10x from both sides.
17x−10x=168
Combine 17x and −10x to get 7x.
7x=168
Divide both sides by 7.
x= 168/7
Divide 168 by 7 to get 24.
x=24