x/2-1/5=x/3+1/4
solve this equation

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Today at 12:03 PM
Mathematics

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x/2-1/5=x/3+1/4
solve this equation

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09pqr4sT 09pqr4sT · Answer 1 · 2025-03-27T12:08:31-04:00

Answer:

[tex]x=\frac{27}{10}[/tex]

Step-by-step explanation:

[tex]\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}[/tex]

[tex]\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}[/tex]

[tex]-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}[/tex]

[tex]-\frac{1}{5}+\frac{x}{6}+\frac{1}{5}=\frac{1}{4}+\frac{1}{5}[/tex]

[tex]\frac{x}{6}=\frac{9}{20}[/tex]

[tex]\frac{6x}{6}=\frac{9\times \:6}{20}[/tex]

[tex]x=\frac{27}{10}[/tex]

maxwellekoh maxwellekoh · Answer 2 · 2025-03-27T12:09:17-04:00

maxwellekoh maxwellekoh

Today at 12:09 PM

Answer:

2.7

Step-by-step explanation:

x/2-1/5=x/3+1/4

Collecting like terms of x on the left side we have;

x/2-x/3= 1/5 +1/4

(3x-2x)/6 = (4+5) /20

x/6 = 9/20

x= (9x6)/20 = 27/10 = 2 7/10 = 2.7

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x/2-1/5=x/3+1/4solve this equation ​

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x/2-1/5=x/3+1/4
solve this equation