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Question

3x+54x+2=3x+44x+7. Solve this linear equation.


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Solution

Solving the equation:

We have,3x+54x+2=3x+44x+7

By cross-multiplying we get

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

Now applying the distributive property.

3x(4x+7)+5(4x+7)=3x(4x+2)+4(4x+2)12x2+21x+20x+35=12x2+6x+16x+841x+35=22x+819x=-27x=-2719

Hence, the solution of the linear equation is -2719


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