Question

`(3)/(4) x + (5)/(6) = 5x - (125)/(3)`
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Answer 1

nos agoi o se

Explanation:

Answer 2

`\boxed{\bold{\huge{\boxed{x = 10}}}}`

Explanation:

=>
`\sf (3)/(4) x + (5)/(6) = 5x - (125)/(3)`

Combining like terms

=>
`\sf (3x)/(4) - 5x = -(125)/(3) - (5)/(6)`

Taking LCM to make the denominator same

=>
`\sf \large{(3x-20x)/(4) = (-250-5)/(6) }`

=>
`\sf (-17x )/(4) = (-255)/(6)`

=>
`\sf (17x )/(4) = (255)/(6)`

Cross Multiplying

=>
`\sf 17x * 6 = 4 * 255`

=>
`\sf 102x = 1020`

Dividing both sides by 102

=> x = 10