Step-by-step explanation:
[tex]2015 \: - \: (2015 \: \div \: 5(x \: - \: 5) \: \div 5) \: = \: 2014[/tex]
- First we do the division, and then we convert the division to a fraction.
[tex]2015 \: - \: (403 \: \times \: \frac{x \: - \: 5}{5} ) \: = \: 2014[/tex]
- We proceed to calculate the product of the parentheses.
[tex]2015 \: - \: \frac{403(x \: - \: 5)}{5} \: = \: 2014[/tex]
- We distribute "403" in the terms.
[tex]2015 \: - \: \frac{403x \: - \: 5}{5} \: = \: 2014 [/tex]
- We proceed to multiply both sides of the equation by "5".
[tex]10075 \: - \: (403x \: - \: 2015) \: = \: 10070[/tex]
- Since we want to remove the parentheses but there is a negative sign in front (-) we change the signs of each term that contains the parentheses.
[tex]10075 \: - \: 403x \: + \: 2015 \: = \: 10070[/tex]
- We add the positive numbers.
[tex]12090 \: - \: 403x \: = \: 10070[/tex]
- We pass the member to the right side changing the sign.
[tex] - 403x \: = \: 10070 \: - \: 12090[/tex]
[tex] - 403x \: = \: - 2020[/tex]
- Finally, we divide both sides of the equation by "403".
[tex] \boxed{ \bold{x \: = \: \frac{2020}{403} }}[/tex]
MissSpanish
