Solve the equation. \frac{3}{2x-4}-\frac{5}{3x-6}=\frac{3}{5}

sputavanomr

sputavanomr

Answered question

2021-11-17

Solve the equation.
32x453x6=35

Answer & Explanation

navratitehf

navratitehf

Beginner2021-11-18Added 20 answers

Step 1
Given
32x453x6=35
Step 2
We write
32x453x6=35
32(x2)53(x2)=35
The least common multiple of (2x-4), (3x-6), and 5 is 30(x-2)
Multiply by 30(x-2) into both sides
32(x2)×30(x2)53(x2)×30(x2)=35×30(x2)
3×155×10=3×6(x2)
3×155×10=3×6(x2)
4550=18x36
5=18x36
5+36=18x
31=18x
x=3118
Dona Hall

Dona Hall

Beginner2021-11-19Added 15 answers

32x453x6=35 30(x-2)
2(x-2) 3(x-2)
15(x-2)*3-10*5(x-2)=6*3(x-2)
45(x-2)-50(x-2)=18(x-2)
45x-90-50x+100=18x-36
-5x+10=18x-36
+5x+36+5x+36
23x23=4623
x=2

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