Question

Solve(3x+2)/7+4(x+1)/5=2(2x+1)/3

Answer 1

$\bf\blue{\underline{\boxed{Question}}}$

$\:$

$\small\tt{\frac{3x+2}{7}} + {\frac{4(x+1)}{5}}\:=\:{\frac{2(2x+1)}{3}}$

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$\bf\blue{\underline{\boxed{Solution}}}$

$\:$

→$\small\tt{\frac{\:3x+2}{7}} + {\frac{4(x+1)}{5}}\:=\:{\frac{2(2x+1)}{3}}$

→$\small\tt{\frac{\:3x+2}{7}} + {\frac{4x+4}{5}}\:\:\:\:=\:{\frac{4x+4}{3}}$

$\:$

$\small\tt{LCM\:of\:7\:and\:5\:is\:35}$

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→$\small\tt{\frac{\:15x+10+28x+28}{35}}\:=\:{\frac{4x+4}{3}}$

→$\small\tt{\:\:3(15x+10+28x+28)\:=\:35(4x+4)}$

→$\small\tt{\:\:3(43x+38)\:=\:35(4x+4)}$

→$\small\tt{\:\:129x+114\:=\:140x+140}$

→$\small\tt{\:\:129x-140x\:=\:140-114}$

→$\small\tt{\:\:-11x\:=\:26}$

→$\small\tt{\:\:x\:=\:{\frac{\:\:\:26}{-11}}}$

$\small\tt\red{\underline{\boxed{\:\:Answer\rightarrow\:\:x\:=\: - {\frac{26}{11}}}}}$

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$\bf\blue{\underline{\boxed{Hope\:It\: Help\:You}}}$

Answer 2

Step-by-step explanation:

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