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Carolyn Meadows
Mathematics
24 June, 22:19
Solve for X: 2/3 (1/4x-2) = 1/5 (4/3x-1)
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Chubs
24 June, 22:22
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Solve 2/3 (1/4x - 2) = 1/5 (4/3x - 1) for x.
The first step is the apply the Distributive Property, which is defined as a (b + c) = ab + ac. We'll apply it twice here - once for each side of the equation. Let's start with the left side.
2/3 (1/4x - 2)
2/3 (1/4x) + 2/3 (-2)
2/12x - 4/3
Now the right side.
1/5 (4/3x - 1)
1/5 (4/3x) + 1/5 (-1)
4/15x - 1/5
Now the equation is 2/12x - 4/3 = 4/15x - 1/5; let's solve algebraically for x.
2/12x - 4/3 = 4/15x - 1/5
2/12x = 4/15x - 1/5 + 4/3
2/12x - 4/15x = - 1/5 + 4/3
Make the fractions have common denominators.
2/12x (5/5) = 10/60x
-4/15x (4/4) = - 16/60x
-1/5 (3/3) = - 3/15
4/3 (5/5) = 20/15
The equation becomes 10/60x - 16/60x = - 3/15 + 20/15. Continue solving.
10/60x - 16/60x = - 3/15 + 20/15
-60/6 (-6/60x) = - 60/6 (17/15)
x = - 1020/90
x = - 34/3
Answer:
x = - 34/3
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Tess Graves
24 June, 22:34
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This is what I got
X = 15.33
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