Lawson Nichols
06/14/2023 · Senior High School
in the equation: \( \frac{2(3-d)}{9}-\frac{5(3-d)}{2}+\frac{5(3-d)}{6}=0 \)
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Step-by-step Solution
Solve the equation \( \frac{2(3-d)}{9}-\frac{5(3-d)}{2}+\frac{5(3-d)}{6}=0 \).
Solve the equation by following steps:
- step0: Solve for \(d\):
\(\frac{2\left(3-d\right)}{9}-\frac{5\left(3-d\right)}{2}+\frac{5\left(3-d\right)}{6}=0\)
- step1: Multiply both sides of the equation by LCD:
\(\left(\frac{2\left(3-d\right)}{9}-\frac{5\left(3-d\right)}{2}+\frac{5\left(3-d\right)}{6}\right)\times 18=0\times 18\)
- step2: Simplify the equation:
\(-78+26d=0\)
- step3: Move the constant to the right side:
\(26d=0+78\)
- step4: Remove 0:
\(26d=78\)
- step5: Divide both sides:
\(\frac{26d}{26}=\frac{78}{26}\)
- step6: Divide the numbers:
\(d=3\)
The solution to the equation \( \frac{2(3-d)}{9}-\frac{5(3-d)}{2}+\frac{5(3-d)}{6}=0 \) is \( d=3 \).
Quick Answer
\( d=3 \).
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