Solve 3(x-2)/2 - x-3/4 =4?

Question

3(x-2) – x-3 = 4
2 4

Answer 1

To find the common denominator, you're supposed to multiply the denominators together; you get 8.

So multiply each "fraction" by 8.
(8)[3(x-2)]/2 - 8(x-3)/4 = 4 (8)

Multiply the 8 with the 3 (don't distribute that 3 yet), you get:
24(x-2)/2 - 8(x-3)/4 = 32

Now, reduce the 24 with the 2, and the 8 with the 4 which gives you:
12(x-2) - 2(x-3) = 32

Now, distribute the 12 and the 2 across which gives you:
12x - 24 - 2x + 6 = 32

Combine like terms:
10x - 18 = 32

Add 18 to both sides, you get:
10x = 50

Divide 10 to both sides, you get:
x = 5

Good luck! =) Hope it helped.

Answer 2

hit upon a form that all and sundry the denominator pass into (2, 3 and four all pass into 12) so multiply each and every thing by employing 12: 12(x-6)/3 - 12(3x-2)/2 = 36/4 Now simplify the fractions: 4(x - 6) - 6(3x - 2) = 9 Now improve the brackets (be very careful, that - ability -6, it relatively is a very basic mistake to enhance without the -): 4x - 24 - 18x + 12 = 9 upload all the like words: -14x - 12 = 9 upload 12 to the two sides: -14x = 21 Divide the two sides by employing -14: x = - 21/14 (simplifies to - 3/2)

Answer 3

solution:
1.distribute 3
2. add 3&3/4 both sides
3. (3x-6)/2 will become (3x/2) - ( 2x/2) ---now they have the same denominator...2x/2 is equal to one, don't worry
4. 3x-2x = x, right?
5. x/2 = 7.75 or 7 3/4
6. multiply by 2
Answer:

15.5 or 15 1/2

Answer 4

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

1 1/2x - x -3 = 4+ 3/4 like ( 1.5x - x - 3 = 4.75 )

1/2x = 7 3/4 like ( 0.5x = 7.75 )

x = 15 1/2 ( 15.5 )

Answer 5

3(x-2)/2- 3/4=4

4 is the lcd

3x-6/2-3/4=4
2(3x-6)-3=16
6x-12-3=16
6x-15=16
6x-15+15=16+15
6x=31
x=31/6=5 1/6

Answer 6

divide the whole equation into 4
you'll get 6x-12 - (x-3) = 16
--> 6x-12 -x +3 = 16
--> 5x-9=16
--> 5x = 25
--> x=5
there you go

Answer 7

It is 15.5


To check, plug 15.5 into your original equation

3 (15.5 -2) /2 -15.5 -.75 = 4
20.25 - 15.5 - .75 = 4
4.75 - .75 = 4

Answer 8

Please write the question correctly.