Answer
$x=1$
Work Step by Step
$10-x=-6x+15$
First we move the +10 and -6x to the other side of the equation to isolate the "x" on one side. Moving the +10 will cause it to become negative while moving -6x will cause it to become positive.
$-x+6x=15-10$
$5x=5$
Then we will divide the equation by 5 so we could get the value of the single "x"
$5x=5 /:5$
$\frac{5}{5}x=\frac{5}{5}$
$x=1$
We can also check if our result is correct by substituting our "x" in the original equation...
$10-1=-6\times1+15$
$9=9$