Question

Manuela solved the equation below.



What is the solution to Manuela’s equation?

Answer 1

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:

$x = -8$

Answer 2

Answer:

x = -8

Step-by-step 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