2006-08-28 08:36:51 · 8 answers · asked by Money G 1 in Education & Reference ➔ Homework Help
(2/5 x +6/5 = x-3) *5
2x + 6 = 5x - 15
-2x +15 -2x +15
21 = 3x
x = 7
2006-08-28 08:43:38 · answer #1 · answered by JerseyRick 6 · 0⤊ 0⤋
move all x's together:
6/5 +3 = x - 2/5 x
get common denominators:
18/15 + 45/15 = 5/5x - 2/5x
63/15 = 3/5 x
7 = x
:)
check:
2/5 (7) + 6/5 = 7 -3
4 = 4
tada ~~~
2006-08-28 15:48:07 · answer #2 · answered by sasmallworld 6 · 0⤊ 0⤋
Here's the steps to solve: 2/5x + 6/5 = x - 3
Add 3 to both sides:
2/5x + 3 + 6/5 = x
Combine 3 & 6/5 which is 21/5.
2/5x + 21/5 = x
Now, subtract 2/5x from both sides.
21/5 = x - 2/5x
Combine -2/5x + 1x, which is 3/5.
21/5 = 3/5x
Swap both sides, to get the x's on the left side.
3/5x = 21/5
Multiply both sides by 5, which gives you:
3x = 21
And then divide 21 by 3 which equals
x = 3
---------------------------------
Always check your answer by plugging it into the original equation.
2/5*7 + 6/5 = 7 - 3
14/5 + 6/5 = 4
20/5 = 4
4 = 4
**It's important to follow the steps carefully & double check your answer.**
2006-08-28 15:47:04 · answer #3 · answered by Mitch 7 · 1⤊ 0⤋
simplify the expression by multiplying 5 to both sides, to remove denominators. then solve for x:
2/5x + 6/5 = x - 3
2x + 6 = 5(x - 3)
2x + 6 = 5x - 15
6 + 15 = 5x - 2x
21 = 3x
7 = x
2006-08-28 15:42:58 · answer #4 · answered by lemons 3 · 0⤊ 0⤋
2/5x - x = -3 -6/5
-3/5x = -15/5 + -6/5
3x = 15+6
x=21/3
x=7
2006-08-28 15:50:06 · answer #5 · answered by Anonymous · 0⤊ 0⤋
X=7
(2X+6)/5=X-3
Mulitply both sides by 5 =>
2X+6=5X-15
Subtrace 2X from both sides =>
6=3X-15
Add 15 to both sides =>
21=3X
Divde both sides by 3 =>
7=X
2006-08-28 15:43:25 · answer #6 · answered by Tony Z 3 · 0⤊ 0⤋
x=7
2006-09-01 13:53:32 · answer #7 · answered by Anonymous · 0⤊ 0⤋
2/5x + 6/5 = x - 3
21/5 = 3/5x
21/5 * 5/3 = x
21/3 = x
7 = x
2006-08-28 15:44:41 · answer #8 · answered by peachzncream3127 2 · 0⤊ 0⤋