How do you solve #\frac { 7} { 2} x + 3= \frac { 1} { 2} + \frac { 1} { 2} x#?

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Answer 1 · 2017-10-19T23:27:30

The answer is #x= -5/6#

The first step is to combine like terms.

The #1/2 x# would move to the left side of the equal sign. You also have to change the sign, basically you have to subtract since the sign is "+":

# (7/2x- 1/2x)+3= 1/2#

#(6/2x)+3= 1/2#

You would also combine the terms without the #x#.

#6/2x=(1/2-3)#

#6/2x= -5/2#

We can simplify #6/2x# to #3x#.

The next step is to multiply each side of the equation with the reciprocal to get rid of the #3#.

#( 1/3) * 3x= -5/2* ( 1/3)#

#x= -5/6#