Question

( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify

Answer 1

The answer will be 7(2x - 1)

Explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

`7x + (1)/(2) + 7x - (7 * 2 + 1)/(2)`

2) Simplify 7 × 2 to 14 .

`7x + (1)/(2) + 7x - (14 + 1)/(2)`

3) Simplify 14 + 1 to 15.

`7x + (1)/(2) + 7x - (15)/(2)`

4) Collect like terms.

`(7x + 7x) + ( (1)/(2) - (15)/(2) )`

5) simplify.

`14x - 7`

6) Factor out the common term 7.

`7(2x - 1)`

Therefor, the answer is 7( 2x - 1 ).