How do you solve 3/4+1/2x=2+1/4x34+12x=2+14x?

3 Answers
May 29, 2018

x=5x=5

Explanation:

We have, frac{3}4 + x/2=2+x/434+x2=2+x4

On further simplification,we get,

x/2-x/4=2-frac{3}4x2x4=234

Or,x/4=5/4x4=54

Thus, xx is equal to 5

May 29, 2018

5

Explanation:

In these cases, you always want to move terms with xx to one side and numbers to the other. So, moving things around, we get

1/2x-1/4x=2-3/412x14x=234

(remember to change signs when you move things to the opposite side!)

Simplifying that, we get

2/4x-1/4x=8/4-3/424x14x=8434

1/4x=5/414x=54

Multiplying both sides by 4, we get

x=5x=5

and voila!

May 29, 2018

x=5x=5

Explanation:

3/4+1/2x=2+1/4x34+12x=2+14x

If you have an equation which has fractions, you can get rid of the denominators by multiplying by the LCM of the denominators.

(In this case it is 44)

(color(blue)(cancel4xx)3)/cancel4+(color(blue)(cancel4^2xx)1x)/cancel2=color(blue)(4xx)2+(color(blue)(cancel4xx)1x)/cancel4

3 +2x=8+x" "larr no fractions !

2x-x = 8-3

x=5