Question

Yuto solved the equation below. What is the solution to Yuto’s equation?

Answer 1

Answer: Yuto's equation has no solution.

Step-by-step 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.

Answer 2

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