Question

What is the value of x?

Answer 1

x = 13

Explanation:

`\huge{ (x - 5)/(2) + (x - 1)/(8) = (x - 3)/(4) + (x - 4)/(3)}`

`\huge{24( (x - 5)/(2) + (x - 1)/(8) ) = 24( (x - 3)/(4) + (x - 4)/(3) )}`

`\huge{24( (x - 5)/(2) + (x - 1)/(8) ) = 24( (x - 3)/(4) + (x - 4)/(3) )}`

`\huge{24 * (x - 5)/(2) + 24 * (x - 1)/(8) = 24 * (x - 3)/(4) + 24 * (x - 4)/(3)}`

`12(x - 5) + 3(x - 1) = 6(x - 3) + 8(x - 4)`

`12x - 60 + 3x - 3 = 6x - 18 + 8x - 32`

`15x - 63 = 14x - 50`

`15x - 14x = - 50 + 63`

`x = - 50 + 63`

`\boxed{\green{x = 13}}`