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Ronch [10]
2 years ago
11

X + 5x/12 = x/6 + 2x/3 + 14

Mathematics
1 answer:
SOVA2 [1]2 years ago
8 0

Answer: x=24

Step-by-step 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

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