1/4x+14=5/4x-2

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Solution for 1/4x+14=5/4x-2 equation: 



1/4x+14=5/4x-2

We move all terms to the left:

1/4x+14-(5/4x-2)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R





Domain of the equation: 4x-2)!=0

x∈R



We get rid of parentheses

1/4x-5/4x+2+14=0

We multiply all the terms by the denominator


2*4x+14*4x+1-5=0

We add all the numbers together, and all the variables

2*4x+14*4x-4=0

Wy multiply elements

8x+56x-4=0

We add all the numbers together, and all the variables

64x-4=0

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

64x=4

x=4/64

x=1/16

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