2007-08-10 01:05:29 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1/4(x - 5) = 2/5(2x - 3)
Clear the fractions. The LCM is 20
20(1/4)(x - 5) = 20(2/5)(2x - 3)
5(x - 5) = 8(2x - 3)
5x - 25 = 16x - 24
Transpose 5x
5x - 25 - 5x = 16x - 24 - 5x
- 25 = 11x - 24
Transpose 24
- 25 + 24 = 11x - 24 + 24
- 1 = 11x
Divide both sides of the equation by 11
- 1/11 = 11x/11
- 1/11 = x
- - - - - - - -s-
2007-08-10 02:51:06 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
First of all, get rid of the fractions:
1. Multiply both sides by 4 to get:
x - 5 = 8/5 (2x - 3)
2. Multiply both sides by 5 to get:
5x - 25 = 16x - 24
3. Solve for x:
11x = -1
x = -1 / 11
2007-08-10 01:18:10 · answer #2 · answered by Jeremiah F 3 · 0⤊ 0⤋
first distribute 1/4 and 2/5 to its respective terms:
so...
1/4(x-5) will be equals to 1/4x - 5/4
and
2/5(2x-3) will be equaled to 4/5x-6/5
then equate it
1/4x-5/4 = 4/5x-6/5
put all the terms with the variable x on the left side... and the others on the right side
1/4x - 4/5x = -6/5 + 5/4
get the LCM: 20
then..
5/20x - 16/20x = -24/20 + 25/20
-11/20x = 1/20
multiply both side by 20
-11x = 1
thus x= -1/11
2007-08-10 01:52:50 · answer #3 · answered by >_< 2 · 0⤊ 0⤋
1/4 (x-5) = 2/5 (2x-3)
5/8 (x-5) = 2x-3
5x/8 - 25/8 = 2x-3
2x-5x/8 = 3 - 25/8
11x/8 = 1/8
x = 1/11
2007-08-10 01:16:37 · answer #4 · answered by quigonjan 3 · 0⤊ 0⤋
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2016-11-11 22:36:29 · answer #5 · answered by dugas 4 · 0⤊ 0⤋
cross multiply
5(2x - 3) = 8 (x - 5)
10 x - 15 = 8x -40
2x = -25
x = -25/2 = -12.5
2007-08-10 01:17:11 · answer #6 · answered by timemccormick 3 · 0⤊ 0⤋
cross multiply
5 * (x-5) = 2*(2x-3)
5x-25=4x-6
5x-4x=25-6
x=19
2007-08-10 01:14:09 · answer #7 · answered by shubham_nath 3 · 0⤊ 0⤋
1/4x - 5/4 = 4/5x -6/5
11/20x = -1/20
x = -1/11
2007-08-10 01:15:42 · answer #8 · answered by Montu K 1 · 0⤊ 0⤋