Question

Simplify the expression by arranging the steps in sequence, based on the order of operations. 1/6(30x+24)-1/7(63-7x)

Answer 1

`(42)/(42)` * (6x-5)

Explanation:

Factor out 1/42 from both fractions first:

=

1/42 * (7(30x+24) - 6(63-7x))

then distribute the multiplication and combine like terms:

= 1/42 * (210x + 168 - 378 +42x)

= 1/42 * (252x-210)

Factor:

= 1/42 * 42(6x-5)

= 42/42 * (6x-5)