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Solve for x

3/4X -24 = -1/4X +12

2006-11-27 05:36:54 · 6 answers · asked by Help! 1 in Science & Mathematics Mathematics

6 answers

3/4X - 24 = -1/4X + 12
First put all the x's on one side and all of the numbers on one side.

(3/4X + 1/4X) = 12 + 24
X = 36

2006-11-27 05:41:12 · answer #1 · answered by Krisie 2 · 0 0

3/4x - 24 = - 1/4x + 12

4(3/4x) - 4(24) = - 4(1/4x) + 4(12)

3x - 96 = - x + 48

3x - 96 x = - x+ 48 + x

4x - 96 = 48

4x - 96 + 96 = 48 + 96

4x = 144

4x/4 = 144/4

x = 36

The answer is x = 36

Insert the answer into the equation

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Check

3/4x - 24 = - 1/4x + 12

3/4(36) - 24 = - 1/4(36) + 12

108/4 - 24 = - 36/4 + 12

27 - 24 = - 9 + 12

3 = 3

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2006-11-27 14:30:03 · answer #2 · answered by SAMUEL D 7 · 0 0

¾x - 24 = -¼x + 12
¾x + ¼x - 24 = -¼x + ¼x + 12 --- Adding ¼x to each side...
1x - 24 = 12 --- We can drop the 1 in the 1x because (1)(x) = x...
x - 24 = 12
x - 24 + 24 = 12 + 24 --- Adding 24 to both sides...
x = 36

Answer: x = 36

2006-11-27 13:40:50 · answer #3 · answered by Anonymous · 0 0

3/4x-24= -1/4x+12
3/4x= -1/4x+36
x=36

2006-11-27 13:49:53 · answer #4 · answered by chrisjptine 1 · 0 0

3/4X -24 = -1/4X +12 multiply both sides by 4x
3-96x=-1+48x add 1+96x to each side
4=144x divide by 144
x=1/36

2006-11-27 13:57:48 · answer #5 · answered by yupchagee 7 · 0 0

0.75x-24=-0.25x+12
x=36

2006-11-27 13:41:00 · answer #6 · answered by spineminus2 3 · 0 0

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