Answer
$x=4$
Work Step by Step
$-2x+9=2x-7$
First we move the +9 and+2x to the other side of the equation to isolate the "x" on one side. Moving the +9 and +2x will cause them to become negative.
$-4x=-16 /\times(-1)$
$4x=16$
Then we will divide the equation by 4 so we could get the value of the single "x"
$4x=16 /:7$
$\frac{4}{4}x=\frac{16}{4}$
$x=4$
We can also check if our result is correct by substituting our "x" in the original equation...
$-2\times4+9=2\times4-7$
$-8+9=8-7$
$1=1$