1/2(14x+4)-13=-1/4(16x-28)

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Solution for 1/2(14x+4)-13=-1/4(16x-28) equation: 



1/2(14x+4)-13=-1/4(16x-28)

We move all terms to the left:

1/2(14x+4)-13-(-1/4(16x-28))=0



Domain of the equation: 2(14x+4)!=0

x∈R





Domain of the equation: 4(16x-28))!=0

x∈R



We calculate fractions


(4x1/(2(14x+4)*4(16x-28)))+(-(-2x1)/(2(14x+4)*4(16x-28)))-13=0



We calculate terms in parentheses: +(4x1/(2(14x+4)*4(16x-28))), so:

4x1/(2(14x+4)*4(16x-28))

We multiply all the terms by the denominator


4x1

We add all the numbers together, and all the variables

4x

Back to the equation:

+(4x)





We calculate terms in parentheses: +(-(-2x1)/(2(14x+4)*4(16x-28))), so:

-(-2x1)/(2(14x+4)*4(16x-28))

We add all the numbers together, and all the variables

-(-2x)/(2(14x+4)*4(16x-28))

We multiply all the terms by the denominator


-(-2x)

We get rid of parentheses

2x

Back to the equation:

+(2x)



We add all the numbers together, and all the variables

6x-13=0

We move all terms containing x to the left, all other terms to the right

6x=13

x=13/6

x=2+1/6

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