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3/8x+5=7/8x-3
We move all terms to the left:
3/8x+5-(7/8x-3)=0
Domain of the equation: 8x!=0
x!=0/8
x!=0
x∈R
Domain of the equation: 8x-3)!=0We get rid of parentheses
x∈R
3/8x-7/8x+3+5=0
We multiply all the terms by the denominator
3*8x+5*8x+3-7=0
We add all the numbers together, and all the variables
3*8x+5*8x-4=0
Wy multiply elements
24x+40x-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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