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

1 Answer
Oct 19, 2017

The answer is x= -5/6

Explanation:

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