Answer
No solution.
Work Step by Step
We need to solve:
$-3(2x+6)=-4x+8-2x$
To solve this with a graphing calculator, we set one side to $0$:
$-6x-18-(-4x+8-2x)=0$
We graph and find the $x$-intercept ($y=0$).
However, as you can see from the graph, no $x$ intercept appears (the graph is a horizontal line). To investigate further, we solve the equation:
$-3(2x+6)=-4x+8-2x$
$-6x-18=-6x+8$
$-6x+6x=8+18$
$0=26$
We got a false equality. Therefore, there is no solution.
