Question

(Algebraic Manipulation) Please help to solve 3D only thank you!

Answer 1

see explanation

Explanation:

To add/subtract the fractions we require them to have a common denominator.

The lowest common multiple of 6 and 5 is 30

Note that 1 =
`(30)/(30)`

Multiply the numerator/denominator of the first fraction by 5

Multiply the numerator/denominator of the second fraction by 6

=
`(30)/(30)` -
`(5(3)(x+2))/(6(5))` +
`(6(4)(1-2x))/(5(6))`

=
`(30)/(30)` -
`(15(x+2))/(30)` +
`(24(1-2x))/(30)`

Distribute and simplify the numerators, leaving the denominator

=
`(30-15x-30+24-48x)/(30)`

=
`(24-63x)/(30)`