1/2(2-6x)-4(x+3/2=-(x-3)+4

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Solution for 1/2(2-6x)-4(x+3/2=-(x-3)+4 equation:



1/2(2-6x)-4(x+3/2=-(x-3)+4
We move all terms to the left:
1/2(2-6x)-4(x+3/2-(-(x-3)+4)=0
Domain of the equation: 2(2-6x)!=0
x∈R
Domain of the equation: 2-(-(x-3)+4)!=0
We move all terms containing x to the left, all other terms to the right
-(-(x-3)+4)!=-2
x∈R
We add all the numbers together, and all the variables
1/2(-6x+2)-4(x+3/2-(-(x-3)+4)=0
We calculate fractions
(x-5)/(-23x+1)+(-4(x+3*2(-6x+2))/(-23x+1)=0
We calculate terms in parentheses: +(-4(x+3*2(-6x+2))/(-23x+1), so:
-4(x+3*2(-6x+2))/(-23x+1
We multiply all the terms by the denominator
-4(x+3*2(-6x+2))
Back to the equation:
+(-4(x+3*2(-6x+2)))
We multiply all the terms by the denominator
(x-5)+((-4(x+3*2(-6x+2))))*(-23x+1)=0
We calculate terms in parentheses: +((-4(x+3*2(-6x+2))))*(-23x+1), so:
(-4(x+3*2(-6x+2))))*(-23x+1
We add all the numbers together, and all the variables
-23x+(-4(x+3*2(-6x+2))))*(+1
Back to the equation:
+(-23x+(-4(x+3*2(-6x+2))))*(+1)
We add all the numbers together, and all the variables
(x-5)+(-23x+(-4(x+3*2(-6x+2))))*1=0
We get rid of parentheses
x+(-23x+(-4(x+3*2(-6x+2))))*1-5=0
We move all terms containing x to the left, all other terms to the right
x+(-23x+(-4(x+3*2(-6x+2))))*1=5

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