Question

Yuto solved the equation below.



What is the solution to Yuto’s equation?

Answer 1

For this case we have the following equation:

`-2 (x + 5) = - 2 (x-2) +5`

We apply distributive property to the terms within parentheses:

`-2x-10 = -2x + 4 + 5`

We add similar terms to the right side of the equation:

`-2x-10 = -2x + 9`

We add 2x to both sides of the equation:

`-10 = 9`

Equality is not fulfilled, so the equation has no solution.

Answer:

It has no solution

Answer 2

Answer: Yuto's equation has no solution.

Explanation:

To find the solution to Yuto’s equation, you need to solve for the variable "x":

Apply Distributive property:

`-2(x+5)=-2(x-2)+5\\\\-2x-10=-2x+4+5\\\\-2x-10=-2x+9`

Add
`2x` to both sides of the equation:

`-2x-10+2x=-2x+9+2x\\\\0x-10=9\\\\-10=9\ (False)`

Therefore, the equation has no solution.