How do you simplify \frac{1}{3}x+2=\frac{1}{2}x-113x+2=12x−1?

3 Answers
Mark D.
Jul 7, 2018

Multiply by 6

2x+12=3x-62x+12=3x−6

Subtract 2x2x

12=x-612=x−6

Add6

x=18x=18

Nam D.
Jul 7, 2018

x=18x=18

Explanation:

Given: 1/3x+2=1/2x-113x+2=12x−1.

Subtract 22 from both sides.

1/3x=1/2x-1-213x=12x−1−2

1/3x=1/2x-313x=12x−3

Multiply both sides by the greatest common factor (bb(GCF))(GCF) of the denominators, which is 2*3=62⋅3=6.

6(1/3x)=6(1/2x-3)6(13x)=6(12x−3)

2x=3x-182x=3x−18

Subtract 3x3x from both sides.

2x-3x=-182x−3x=−18

-x=-18−x=−18

Multiplying both sides by -1−1 yields:

:.x=18

Jacobi J.
Jul 7, 2018

x=18

Explanation:

We can get rid of the fractions by multiplying by the LCM of the denominators, which happens to be 6.

We now have

2x+12=3x-6

Let's subtract 12 from both sides to get

2x=3x-18

Next, we can subtract 3x from both sides. We now have

-x=-18

Lastly, we can divide both sides by -1 to get

x=18

Hope this helps!

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