Given the equation 2ax-10=(a-2)x+5a, where a is not equal to -2. when this equation is solved for x, the value of x equals what?

2ax-10=(a-2)x+5a

distribute

2ax-10=ax-2x+5a

subtract 2ax from each side

-10 = ax-2x-2ax +5a

subtract 5a to each side

-10 -5a = ax -2x-2ax

combine like terms

-10-5a = -2x-ax

factor out an x

-10 -5a = x(-2-a)

factor out -5 on the left and -1 on the right

-5(2+a)= -x(2+a)

divide by -(2+a)

5 = x

Answer x=5

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4