4 Answers

X/2 + X/3 = 4

You need a common denominator for x/2 + x/3. That would be 6. Multiply  x/2 by 3 to get 3x/6 andmultiply x/3 by 2 to get 2x/6.

3x/6 + 2x/6 =4

5x/6 = 4

Multiply both sides of the equation to get 5x = 24   (5x/6 × 6 = 5x and 6 x 4 = 24)

Divide both sides by 5..... 5x/5 = x.   24/5 = 4.80    

X= 4.80

Didn't see the fraction problem!

x/2 + x/3 = 4

MULTIPLY EACH SIDE BY 4

1.  4(x/2 + x/3) = 4(4)

2.  4x/2 + 4x/3 = 16  >  make denominator the same

3.  12x/6 + 8x/6 = 16

4.  20x/6  =  16  or   20x/6  =  16/1

5.  DIVIDE BY 20/6 ON BOTH SIDES

6.  x  =  16/1  /  20/6

7.  TAKE THE RECIPROCAL OF 20/6 THEN MULTIPLY

8.  16/1 *  6/20  =  96/20 / 4/4  =  24/5

ANSWER:

x  =  24/5 

Click > http://www.teacherschoice.com.au/maths_library/algebra/alg_21.htm 

equation |??kwe??(?)n|
noun
1 Mathematics a statement that the values of two mathematical expressions are equal (indicated by the sign =).
2 [ mass noun ] the process of equating one thing with another: the equation of science with objectivity.
• (the equation) a situation in which several factors must be taken into account: money also came into the equation.
3 Chemistry a symbolic representation of the changes which occur in a chemical reaction, expressed in terms of the formulae of the molecules or other species involved.
PHRASES
equation of the first (or second etc.) order Mathematics an equation involving only the first derivative, second derivative, etc.
ORIGIN late Middle English: from Latin aequatio(n-), from aequare ‘make equal’ (see equate) .