Can anyone solve this equation?

Question

2/3x + 6 = 1/2x + 1/4x

Answer 1

2/3x + 6 = 1/2x + 1/4x

6=1/2x+1/4x-2/3x

6=6x+3x-8x/12

6=x/12

solve x:

x=72

Answer 2

2/3X + 6 = 1/2X + 1/4X

2/3X + 6 = 3/4X

3/4X - 2/3X = 6

9-8/12X = 6

1/12X = 6

X=72

X=72 IS THE SOLUTION OF UR ANSWARE.  

Answer 3

If 2/3, 1/2 and 1/4 are fractions with x as the literal coefficients, then solve using algebra.

Step 1: Get LCD (least common denominator) of fractions, which is 12

Step 2: Multiply all terms by 12, so:

           12 (2/3x) +12 (6) = 12(1/2x) + 12(1/4x)

Step 3: Simplify applying GCFs (greatest common factors)

           8x + 72 = 6x + 3x or

                  72 = 9x - 8x (transpose 8x)

                  72 = x  or x = 72    (Law of Symmetry)

Answer 4

x=72

Find the least common denominator for all 3 fractions, which is 12, and your equation becomes:

8/12x + 6 = 6/12x + 3/12x

Subtract 8/12x from both sides to get all the variables on one side:

8/12x + 6 - 8/12x = 6/12x + 3/12x - 8/12x   OR

6 = 6/12x + 3/12x - 8/12x

Add the numerators of the fractions:

6 = 1/12x

To isolate x, multiply both sides by 12 to get rid of the fraction:

6 x 12 = 1/12x x 12   OR

6 x 12 = x   (because the 12's cancel, leaving 1/1x, or x)

6 x 12 = 72, so

72 = x  OR

x = 72