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(5/4x-10)+(3/4x+20)=90
We move all terms to the left:
(5/4x-10)+(3/4x+20)-(90)=0
Domain of the equation: 4x-10)!=0
x∈R
Domain of the equation: 4x+20)!=0We get rid of parentheses
x∈R
5/4x+3/4x-10+20-90=0
We multiply all the terms by the denominator
-10*4x+20*4x-90*4x+5+3=0
We add all the numbers together, and all the variables
-10*4x+20*4x-90*4x+8=0
Wy multiply elements
-40x+80x-360x+8=0
We add all the numbers together, and all the variables
-320x+8=0
We move all terms containing x to the left, all other terms to the right
-320x=-8
x=-8/-320
x=1/40
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