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How does 3(x/2) = 2x - 3 become -x/2 = -3 ??????????

I know you have to subtract the 2x from each side but I don't understand how the 3(x/2) becomes -x/2. Why isn't it x/2? You're taking 2 away and leaving one positive one.

2007-06-22 09:51:52 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

3(x/2) = 2x - 3
3x/2 -2x = -3
3x/2 -4x/2 = -3
(3x-4x)/2 = -3
-x/2 = -3

2007-06-22 10:08:45 · answer #1 · answered by ironduke8159 7 · 0 0

3x/2 = 2x-3
3x/2 - 2x = -3 by subtracting 2x
x(3/2-2) = -3 by undistributing the x
x(-1/2) = -3 since 1.5 - 2 = -0.5

2007-06-22 16:56:18 · answer #2 · answered by MathProf 4 · 0 0

3(x/2) = 2x - 3

(3/2) x = 2x -3
(3/2)x - 2x = -3
[ (3/2) - 2 ] x = - 3
[ (3/2) - (4/2)] x = - 3
[ - 1/2] x = -3
-x/2 = -3

2007-06-22 17:30:29 · answer #3 · answered by buoisang 4 · 0 0

3(x/2) = 2x - 3
3x / 2 = 2x - 3
3x = 4x - 6
-x = -6
x = 6.

Woops I solved it by accident... Ah well maybe attempt two will work... TO BE CONTINUED

2007-06-22 17:01:24 · answer #4 · answered by Anonymous · 0 2

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