3-1/2(4-x)=2+1/4(5+x)

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Solution for 3-1/2(4-x)=2+1/4(5+x) equation:



3-1/2(4-x)=2+1/4(5+x)
We move all terms to the left:
3-1/2(4-x)-(2+1/4(5+x))=0
Domain of the equation: 2(4-x)!=0
x∈R
Domain of the equation: 4(5+x))!=0
x∈R
We add all the numbers together, and all the variables
-1/2(-1x+4)-(2+1/4(x+5))+3=0
We calculate fractions
(-4xx/(2(-1x+4)*4(x+5)))+(-2x0/(2(-1x+4)*4(x+5)))+3=0
We calculate terms in parentheses: +(-4xx/(2(-1x+4)*4(x+5))), so:
-4xx/(2(-1x+4)*4(x+5))
We multiply all the terms by the denominator
-4xx
Back to the equation:
+(-4xx)
We calculate terms in parentheses: +(-2x0/(2(-1x+4)*4(x+5))), so:
-2x0/(2(-1x+4)*4(x+5))
We multiply all the terms by the denominator
-2x0
We add all the numbers together, and all the variables
-2x
Back to the equation:
+(-2x)
We get rid of parentheses
-4xx-2x+3=0
We add all the numbers together, and all the variables
-2x-4xx+3=0
We move all terms containing x to the left, all other terms to the right
-2x-4xx=-3

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