what is the x-intercept of -2x+5y=-10

The x-intercept is the point (x, 0).

To find the x-intercept of an equation, substitute 0 in for y:

              -2x + 5y  =  -10

              -2x + 5(0)  =  -10

              -2x           =  -10

                          x  =  5