What is x in 5x-4 equals 2x plus 6?

Answer 1

5X - 4 = 2X + 6

subtract 2X from each side

5X - 2X - 4 = 2X - 2X + 6

3X - 4 = 6

add 4 to both sides

3X - 4 + 4 = 6 + 4

3X = 10

divide both sides integers by 3

(3/3)X = 10/3

X = 10/3

==========check in original equation

5(10/3) - 4 = 2(10/3) + 6

50/3 - 4 = 20/3 + 6

Now, fraction manipulation comes in handy here

you should know, - 4 = - 12/3 and 6 = 18/3, so

50/3 - 12/3 = 20/3 + 18/3

38/3 = 38/3

==========checks and is a good fraction exercise