Question

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

Answer 1

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

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

$7x + \frac{1}{2} + 7x - \frac{7 \times 2 + 1}{2}$

2) Simplify 7 × 2 to 14 .

$7x + \frac{1}{2} + 7x - \frac{14 + 1}{2}$

3) Simplify 14 + 1 to 15.

$7x + \frac{1}{2} + 7x - \frac{15}{2}$

4) Collect like terms.

$(7x + 7x) + ( \frac{1}{2} - \frac{15}{2} )$

5) simplify.

$14x - 7$

6) Factor out the common term 7.

$7(2x - 1)$

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