How do you solve #-x/3-5=2x#?

1 Answer
Feb 1, 2016

Answer:

#x=-15/7#

Explanation:

1. Multiply both sides of the equation by 3 to get rid of the denominator in -x/3.

#-x/3-5=2x#

#3(-x/3-5)=3(2x)#

#-x-15=6x#

2. Bring 15 to the other side of the equation.

#-x-15# #color(red)(+15)=6x# #color(red)(+15)#

3. Simplify.

#-x=6x+15#

4. Bring 6x to the other side of the equation.

#-x# #color(red)(-6x)=6x# #color(red)(-6x)+15#

5. Simplify.

#-7x=15#

6. Divide -7 from both sides.

#-7xcolor(red)(-:-7)=15color(red)(-:-7)#

7. Simplify.

#color(green)(x=-15/7)#