Question

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

Answer 1

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 = $\frac{30}{30}$

Multiply the numerator/denominator of the first fraction by 5

Multiply the numerator/denominator of the second fraction by 6

= $\frac{30}{30}$ - $\frac{5(3)(x+2)}{6(5)}$ + $\frac{6(4)(1-2x)}{5(6)}$

= $\frac{30}{30}$ - $\frac{15(x+2)}{30}$ + $\frac{24(1-2x)}{30}$

Distribute and simplify the numerators, leaving the denominator

= $\frac{30-15x-30+24-48x}{30}$

= $\frac{24-63x}{30}$