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(3)/(4)x+2=(5)/(4)x-6
We move all terms to the left:
(3)/(4)x+2-((5)/(4)x-6)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 4x-6)!=0We get rid of parentheses
x∈R
3/4x-5/4x+6+2=0
We multiply all the terms by the denominator
6*4x+2*4x+3-5=0
We add all the numbers together, and all the variables
6*4x+2*4x-2=0
Wy multiply elements
24x+8x-2=0
We add all the numbers together, and all the variables
32x-2=0
We move all terms containing x to the left, all other terms to the right
32x=2
x=2/32
x=1/16
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