Question

Manuela solved the equation below.

What is the solution to Manuela’s equation?

Answer 1

x = -8

Explanation:

We are given that Manuela solved following equation and we are to find its solution:

`2 ( x + 2 ) = x - 4`

Expanding the left side of the equation by multiplying the terms inside the bracket by 2:

`2x+4=x-4`

Arranging the equation in a way such that like terms are on each side (variables on the left and constants on the right):

`2x-x=-4-4`

x = -8

Answer 2

For this case we have the following equation:

`2 (x + 2) = x-4`

Applying distributive property to the terms within the parentheses on the left side of the equation we have:

`2x + 4 = x-4`

Subtracting "x" on both sides of the equation we have:

`2x-x + 4 = -4\\x + 4 = -4`

Subtracting 4 on both sides of the equation we have:

`x = -4-4\\x = -8`

Answer:

`x = -8`