Question

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

Answer 1

Answer:

Step-by-step explanation:

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

⇒3x+2/7 + 4x+4/5 = 4x+2/3

LCM of 7 and 5 is 35

So,

⇒{5(3x+2) + 7(4x+4)}/35 = 4x+2/3

⇒(15x+10+28x+28)/35 = 4x+2/3

⇒3(15x+10+28x+28) = 35(4x+2)

⇒3(43x+38) = 140x+70

⇒129x+114 = 140x+70

⇒114-70 = 140x-129x

⇒44  = 11x

⇒44/11 = x

⇒4 =x

or x=4

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