2007-05-25 05:22:31 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(2/5)x - 6 = 12
Is the same as
2x/5 - 6 = 12
Multiply both sides by 5 to remove the denominator
5(2x/5 - 6) = 5 * 12
2x - 30 = 60
2x -30 + 30 = 60 + 30
2x = 90
x = 45
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If it's 2/(5x) - 6 = 12
Then you'd multiply both sides by 5x
5x(2/(5x) - 6) = 5x * 12
2 - 30x = 60x
2 = 90x
x = 2/90
x = 1/45
2007-05-25 05:28:15 · answer #1 · answered by Anonymous · 1⤊ 1⤋
2/5x - 6 = 12
2/ 5x = 12 + 6
2 / 5x = 18 multiply the equation by 5x
2 = 90 x
x = 2 / 90 = 1 / 45
2007-05-25 12:29:16 · answer #2 · answered by muhamed a 4 · 0⤊ 0⤋
I will assume you mean (2/5)x - 6 = 12
(2/5)x - 6 = 12
(2/5)x + (- 6) = 12 (definition of subtraction)
[(2/5)x + (- 6 )] + 6 = 12 + 6
(addition property of =)
[(2/5)x + (- 6 )] + 6 =18 simplification
(2/5)x + [(- 6 ) + 6] = 18 {associative property of addition}
(2/5)x + 0 = 18 {axiom of additive inverse}
(2/5)x = 18 {idenity of addition}
[5/2][(2/5)x ] = 5/2(18 ){x property of =}
[5/2(2/5)]x = 5/2(18) { assocaitive property of x}
1x = 5/2(18) axiom of multiplicative inverse
1x= 45 simplification
x = 45 {identity for multiplication}
This sounds long winded, but if by show all steps means you are required to show the axioms of real numbers used, this is the solution.
2007-05-25 12:53:09 · answer #3 · answered by swd 6 · 0⤊ 0⤋
2/5x - 6 = 12
2/5x = 18
2 = 90x
x = 2/90
x = 1/45
2007-05-25 12:26:02 · answer #4 · answered by T 5 · 2⤊ 1⤋
2/5x - 6 = 12
( 2 - 30x) / 5x = 12
2 -30x = 12 * 5x
2- 30x = 60x
-30x - 60 x = -2
- 90x = -2
x = 2/90
x = 1/45
2007-05-25 12:28:47 · answer #5 · answered by Mehn 3 · 0⤊ 0⤋
do you mean (2/5)x - 6
or 2/(5x) - 6
or 2/(5x-6)
????
(2/5)x - 6 = 12
(2/5)x = 18
x = 18(5/2) = 45
2/(5x) - 6 = 12
2/(5x) = 18
1/(5x) = 9
5x = 1/9
x = 1/45
2/(5x-6) = 12
2 = (5x-6)12
2 = 60x - 72
74 = 60x
x = 37/30
2007-05-25 12:31:18 · answer #6 · answered by Philo 7 · 0⤊ 0⤋
Wait, do you mean (2/5)x or 2/(5x)
2007-05-25 12:27:14 · answer #7 · answered by ooorah 6 · 1⤊ 0⤋
Question should read as:-
(2/5).x - 6 = 12
2x - 30 = 60
2x = 90
x = 45
2007-05-26 04:04:50 · answer #8 · answered by Como 7 · 0⤊ 0⤋
2/5X-6=12
2/5X=18
2/(5*18)=X
X=1/45
2007-05-25 12:36:55 · answer #9 · answered by decoyname4t 2 · 0⤊ 0⤋
2/5x=18
1/5x=9
1=45x
x=1/45
2007-05-25 12:28:01 · answer #10 · answered by ? 4 · 0⤊ 2⤋