3/4x+6=15/4x-2

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Solution for 3/4x+6=15/4x-2 equation: 



3/4x+6=15/4x-2

We move all terms to the left:

3/4x+6-(15/4x-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

3/4x-15/4x+2+6=0

We multiply all the terms by the denominator


2*4x+6*4x+3-15=0

We add all the numbers together, and all the variables

2*4x+6*4x-12=0

Wy multiply elements

8x+24x-12=0

We add all the numbers together, and all the variables

32x-12=0

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

32x=12

x=12/32

x=3/8

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