(5-7x)/(2+4x)=-8/7

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Solution for (5-7x)/(2+4x)=-8/7 equation:



(5-7x)/(2+4x)=-8/7
We move all terms to the left:
(5-7x)/(2+4x)-(-8/7)=0
Domain of the equation: (2+4x)!=0
We move all terms containing x to the left, all other terms to the right
4x!=-2
x!=-2/4
x!=-1/2
x∈R
We add all the numbers together, and all the variables
(-7x+5)/(4x+2)-(-8/7)=0
We get rid of parentheses
(-7x+5)/(4x+2)+8/7=0
We calculate fractions
(-49x+35)/(28x+14)+(32x+16)/(28x+14)=0
We multiply all the terms by the denominator
(-49x+35)+(32x+16)=0
We get rid of parentheses
-49x+32x+35+16=0
We add all the numbers together, and all the variables
-17x+51=0
We move all terms containing x to the left, all other terms to the right
-17x=-51
x=-51/-17
x=+3

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