1/4(x+4x)+12=1/2(2-x)10

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Solution for 1/4(x+4x)+12=1/2(2-x)10 equation:



1/4(x+4x)+12=1/2(2-x)10
We move all terms to the left:
1/4(x+4x)+12-(1/2(2-x)10)=0
Domain of the equation: 4(x+4x)!=0
x∈R
Domain of the equation: 2(2-x)10)!=0
x∈R
We add all the numbers together, and all the variables
1/4(+5x)-(1/2(-1x+2)10)+12=0
We calculate fractions
(2x(-)/(4(+5x)*2(-1x+2)10))+(-4x0/(4(+5x)*2(-1x+2)10))+12=0
We calculate terms in parentheses: +(2x(-)/(4(+5x)*2(-1x+2)10)), so:
2x(-)/(4(+5x)*2(-1x+2)10)
We add all the numbers together, and all the variables
2x0/(4(+5x)*2(-1x+2)10)
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 calculate terms in parentheses: +(-4x0/(4(+5x)*2(-1x+2)10)), so:
-4x0/(4(+5x)*2(-1x+2)10)
We multiply all the terms by the denominator
-4x0
We add all the numbers together, and all the variables
-4x
Back to the equation:
+(-4x)
We get rid of parentheses
2x-4x+12=0
We add all the numbers together, and all the variables
-2x+12=0
We move all terms containing x to the left, all other terms to the right
-2x=-12
x=-12/-2
x=+6

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