How do you solve 3x + \frac { 5} { 2} = 5x + \frac { 4} { 3}?

2 Answers
Jul 14, 2017

Collect like terms and then solve for x.

x=7/12

Explanation:

This one turns out to be fairly easy:

3x + 5/2 = 5x + 4/3

Subtract 3x from both sides:

5/2 = 2x + 4/3

Subtract 4/3 from both sides (and swap the sides)

2x = 5/2 - 4/3

We need a common denominator, so multiply 3/3xx5/2=15/6 and 2/2xx-4/3=-8/6

2x = 15/6-8/6=7/6

Now divide both sides by 2:

x=7/12

Jul 14, 2017

The answer is 7/12.

Explanation:

First of all, you move the constant +5/2 to the right, the same for 5x but to the left (and don't forget for both to change its sign) which gives us

3x-5x=4/3-5/2

=> -2x = 8/6-15/6

=> -2x = -7/6

Then to find x you divide both sides by -2, which gives us 7/12.