3x+5/2 = 5x+3/3 +2
Solve for x.
sorry it's hard to write fractions. and the two is not connected to the last part , it's just added separately. and the two is under 3x+5, the three is under 5x+3
2006-10-30 02:11:04 · 9 answers · asked by sungirl 2 in Education & Reference ➔ Homework Help
3x+5 = 5x+3 + 2
2 3
2006-10-30 02:12:24 · update #1
3(3x+5)=2(5x+3)+12
9x+15=10x+6+12
-x=3
x=-3
2006-10-30 02:15:02 · answer #1 · answered by raj 7 · 0⤊ 1⤋
Do the following:
1. Cross multiply and you will have 3(3x +2) = 2 (5x +3+2) (Add the 3 and 2 on the right side to and then you will have 3(3x+2) = 2(5x +5)
2. Apply the Distributive law a(b+c) = ab + ac to obtain 9x + 6 = 10x + 10
3. Now we solve the equation by moving all the variables to one side and the numbers on the other side: 6 -10 = 10x -9x
4. Ans: x = -3
2006-10-30 10:26:21 · answer #2 · answered by JUST_ME 3 · 0⤊ 0⤋
Just use the / key for fractions. Try parenthesis. Do you mean
(3x+5)/2=(5x+3)/3+2?
Steps: Find the LCD = 6.
Clear the denominator by multiplying the whole thing by the LCD. 6/1[(3x+5)/2=(5x=3/3) +2/1]=
9x+15=10x+6+12=
Next: combine like terms. 9x+15=10x+18.
Next: Combine like terms on both sides.15-18=10x-9x
Solve the rest of the equation: -3=x
If you check the answer by substituting -3 into the original equation you will see that it is correct. Good luck.
2006-10-30 10:34:59 · answer #3 · answered by Incognito 2 · 0⤊ 0⤋
(3x+5)/2=(5x+3)/3 +2 => 3(3x+5) =2(5x+3 )+2*6 [Multiplying all the terms by 6] =>9x+15= 10x+6+12 => 9x-10x=6+12-15 =>-x=3 =>x=- 3 ans,
2006-10-30 10:46:34 · answer #4 · answered by alpha 7 · 0⤊ 0⤋
x = 5
2006-10-30 11:15:47 · answer #5 · answered by jlb4est2 1 · 0⤊ 0⤋
I reckon
Multiply both sides by 2 to get
3x+5=2((5x+3)/3)+4
Multiply Both sides by 3 to get
3(3x+5)=2(5x+3)+12
Multiply out the brackets to get
9x+15=10x+6+12
Then re-arrange to get
x=-3
Hope that is right :)
2006-10-30 10:17:59 · answer #6 · answered by Guybrush T 1 · 0⤊ 0⤋
(3x+5)/2 = (5x+3)/3 + 2
(9x+15)/6 = (10x+6)/6 + 12/6
9x+15 = 10x+6+12
9x+15 = 10x+18
x = 15-18
x= -3
2006-10-30 11:07:18 · answer #7 · answered by Turtle 2 · 0⤊ 0⤋
write it like this next time (3x+5)/2= (5x+3)/3 +2.... it helps to have the parenthesis
2006-10-30 10:52:16 · answer #8 · answered by who be boo? 5 · 0⤊ 0⤋
the second equation makes more sense. the way it's written at first makes it impossible because one side of the equation has a 1/2, and the other can't if the value of x is the same. the way the second equation is written, x=2.
2006-10-30 10:15:31 · answer #9 · answered by catsovermen 4 · 0⤊ 0⤋