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

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Solution for (3x+5)/(2x+7)=4 equation:



(3x+5)/(2x+7)=4
We move all terms to the left:
(3x+5)/(2x+7)-(4)=0
Domain of the equation: (2x+7)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-7
x!=-7/2
x!=-3+1/2
x∈R
We multiply all the terms by the denominator
(3x+5)-4*(2x+7)=0
We multiply parentheses
(3x+5)-8x-28=0
We get rid of parentheses
3x-8x+5-28=0
We add all the numbers together, and all the variables
-5x-23=0
We move all terms containing x to the left, all other terms to the right
-5x=23
x=23/-5
x=-4+3/5

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