How do you solve #7/15x-4=2#?

1 Answer
Jun 5, 2018

#x = 90/7# or about #12.857# (rounded to the nearest thousandth's place)

Explanation:

#7/15x - 4 = 2#

To solve for the variable #x#, we have to make it by itself. First, add #color(blue)4# to both sides of the equation:
#7/15x - 4 quadcolor(blue)(+quad4) = 2 quadcolor(blue)(+quad4)#

#7/15x = 6#

Now multiply both sides by #color(blue)15#:
#7/15x color(blue)(*15) = 6 color(blue)(*15)#

#7x = 90#

Now divide both sides by #color(blue)7#:
#(7x)/color(blue)7 = 90/color(blue)7#

Therefore,
#x = 90/7# or about #12.857# (rounded to the nearest thousandth's place)

Hope this helps!