Solve for the value of x: x/2 + x/3 = 2x/5 + 3 , also I need a very thorough explanation for this.

TiernanO asked Dec 22, 2023

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TiernanO asked Dec 22, 2023

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21 votes

Answer:

x=(90)/(13) .

Explanation:

(x)/(2) +(x)/(3) =(2x)/(5) +3;

30*((x)/(2) +(x)/(3) )=30*((2x)/(5) +3);

15x+10x=12x+90; ⇔ 13x=90;

x=(90)/(13).

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