Answer:
see explanation
Step-by-step 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 = [tex]\frac{30}{30}[/tex]
Multiply the numerator/denominator of the first fraction by 5
Multiply the numerator/denominator of the second fraction by 6
= [tex]\frac{30}{30}[/tex] - [tex]\frac{5(3)(x+2)}{6(5)}[/tex] + [tex]\frac{6(4)(1-2x)}{5(6)}[/tex]
= [tex]\frac{30}{30}[/tex] - [tex]\frac{15(x+2)}{30}[/tex] + [tex]\frac{24(1-2x)}{30}[/tex]
Distribute and simplify the numerators, leaving the denominator
= [tex]\frac{30-15x-30+24-48x}{30}[/tex]
= [tex]\frac{24-63x}{30}[/tex]
