# Solving Linear Equations

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#### Guest

##### Guest
Hi
I need help with linear equations involving fractions.

2x/3 -x/4 =5

#### stapel

##### Super Moderator
Staff member
A good first step would be to multiply through by the common denominator, thus getting rid of all of the fractions.

Thank you.

Eliz.

G

#### Guest

##### Guest
bas1106 said:
Hi
I need help with linear equations involving fractions.

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

12 common denominator

2x/3 =3 divide 12 = 4 then 4multiply 2x =8x

Now 4 divide 12 = 3 then mulyiply 3 times x= 3x
Now 5 multiply 12 = 60

Then I have the following

8x - 3x=60

5x=60
DIVIDE
5 5
x=12

This is my thought process.

#### stapel

##### Super Moderator
Staff member
Thank you for showing your work!

To verify your answer, plug it back into the original equation, like this:

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

. . . . .2[12]/3 - [12]/4 ?=? 5

. . . . .24/3 - 12/4 ?=? 5

. . . . .8 - 3 ?=? 5

. . . . .5 = 5

Since the solution "checks", it is correct. Good work!

Eliz.

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Hello Stapel