Question

-2(3x + 4) + 2 X = 4x – 8(x + 1)

Answer 1

We are given the equation:

`-2(3x\text{ + 4) + 2x = 4x -8(x + 1)}`

We are going to solve the equation by applying BODMAS.

Open the brackets:

`-6x\text{ - 8 + 2x = 4x -8x - 8}`

Recall that:

`\begin{gathered} -*\text{ - = + } \\ +\text{ }*\text{ - = -} \end{gathered}`

Collect like terms:

`\begin{gathered} -6x\text{ + 2x - 8 = -4x - 8} \\ -4x\text{ - 8 = -4x - 8} \\ -4x\text{ + 4x = -8 + 8} \\ 0\text{ = 0} \end{gathered}`

We can conclude that there are infinite solutions because the two lines lie on each other i.e the left-hand side is equal to the right-hand side

Answer: Infinitely many solutions