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1.65=(1.5x+22.5)/2.5x
We move all terms to the left:
1.65-((1.5x+22.5)/2.5x)=0
Domain of the equation: 2.5x)!=0We multiply all the terms by the denominator
x!=0/1
x!=0
x∈R
-((1.5x+22.5)+(1.65)*2.5x)=0
We calculate terms in parentheses: -((1.5x+22.5)+(1.65)*2.5x), so:We get rid of parentheses
(1.5x+22.5)+(1.65)*2.5x
We multiply parentheses
(1.5x+22.5)+3.3x
We get rid of parentheses
1.5x+3.3x+22.5
We add all the numbers together, and all the variables
4.8x+22.5
Back to the equation:
-(4.8x+22.5)
-4.8x-22.5=0
We move all terms containing x to the left, all other terms to the right
-4.8x=22.5
x=22.5/-4.8
x=-4+2.5384615384615/3.6923076923077
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