We are given the equation:
[tex]-2(3x\text{ + 4) + 2x = 4x -8(x + 1)}[/tex]
We are going to solve the equation by applying BODMAS.
Open the brackets:
[tex]-6x\text{ - 8 + 2x = 4x -8x - 8}[/tex]
Recall that:
[tex]\begin{gathered} -\times\text{ - = + } \\ +\text{ }\times\text{ - = -} \end{gathered}[/tex]
Collect like terms:
[tex]\begin{gathered} -6x\text{ + 2x - 8 = -4x - 8} \\ -4x\text{ - 8 = -4x - 8} \\ -4x\text{ + 4x = -8 + 8} \\ 0\text{ = 0} \end{gathered}[/tex]
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
