40.6 is the answer to the problem
Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer: x = 1
Answer: <em>(- _-)</em>
Step-by-step explanation:
Let's simplify step-by-step.
8
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3
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x
−
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10
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5
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2
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3
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3
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Distribute the Negative Sign:
=
8
x
3
−
x
+
−
1
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10
x
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5
x
2
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3
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3
)
=
8
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3
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−
x
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1
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10
x
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+
−
1
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−
5
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2
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+
−
1
(
−
3
x
3
)
=
8
x
3
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−
x
+
−
10
x
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5
x
2
+
3
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3
Combine Like Terms:
=
8
x
3
+
−
x
+
−
10
x
+
5
x
2
+
3
x
3
=
(
8
x
3
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3
x
3
)
+
(
5
x
2
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+
(
−
x
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−
10
x
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=
11
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3
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5
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2
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11
x
Answer:
=
11
x
3
+
5
x
2
−
11
x
Brainliest Please:)
