Question

2015-{2015÷5(x-5)÷5}=2014​

Answer 1

Explanation:

`2015 \: - \: (2015 \: / \: 5(x \: - \: 5) \: / 5) \: = \: 2014`

• First we do the division, and then we convert the division to a fraction.

`2015 \: - \: (403 \: * \: (x \: - \: 5)/(5) ) \: = \: 2014`

• We proceed to calculate the product of the parentheses.

`2015 \: - \: (403(x \: - \: 5))/(5) \: = \: 2014`

• We distribute "403" in the terms.

`2015 \: - \: (403x \: - \: 5)/(5) \: = \: 2014`

• We proceed to multiply both sides of the equation by "5".

`10075 \: - \: (403x \: - \: 2015) \: = \: 10070`

• 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.

`10075 \: - \: 403x \: + \: 2015 \: = \: 10070`

• We add the positive numbers.

`12090 \: - \: 403x \: = \: 10070`

• We pass the member to the right side changing the sign.

`- 403x \: = \: 10070 \: - \: 12090`

• We subtract the numbers.

`- 403x \: = \: - 2020`

• Finally, we divide both sides of the equation by "403".

`\boxed{ \bold{x \: = \: (2020)/(403) }}`

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