Question 502702
5x-2y=-4

Since -2y does not contain the variable to solve for, move it to the right-hand side of the equation by adding 2y to both sides.
5x=2y-4

Divide each term in the equation by 5.
(5x)/(5)=(2y)/(5)-(4)/(5)

Cancel the common factor of 5 in (5x)/(5).
(<X>5<x>x)/(<X>5<x>)=(2y)/(5)-(4)/(5)

Remove the common factors that were cancelled out.
x=(2y)/(5)-(4)/(5)

Combine the numerators of all expressions that have common denominators.
x=(2y-4)/(5)

Factor out the GCF of 2 from the expression 2y.
x=(2(y)-4)/(5)

Factor out the GCF of 2 from the expression -4.
x=(2(y)+2(-2))/(5)

Factor out the GCF of 2 from 2y-4.
x=(2(y-2))/(5)