1/4(16-8x)+8=2/3(-6x-12)

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Solution for 1/4(16-8x)+8=2/3(-6x-12) equation:



1/4(16-8x)+8=2/3(-6x-12)
We move all terms to the left:
1/4(16-8x)+8-(2/3(-6x-12))=0
Domain of the equation: 4(16-8x)!=0
x∈R
Domain of the equation: 3(-6x-12))!=0
x∈R
We add all the numbers together, and all the variables
1/4(-8x+16)-(2/3(-6x-12))+8=0
We calculate fractions
(3x(-)/(4(-8x+16)*3(-6x-12)))+(-8x0/(4(-8x+16)*3(-6x-12)))+8=0
We calculate terms in parentheses: +(3x(-)/(4(-8x+16)*3(-6x-12))), so:
3x(-)/(4(-8x+16)*3(-6x-12))
We add all the numbers together, and all the variables
3x0/(4(-8x+16)*3(-6x-12))
We multiply all the terms by the denominator
3x0
We add all the numbers together, and all the variables
3x
Back to the equation:
+(3x)
We calculate terms in parentheses: +(-8x0/(4(-8x+16)*3(-6x-12))), so:
-8x0/(4(-8x+16)*3(-6x-12))
We multiply all the terms by the denominator
-8x0
We add all the numbers together, and all the variables
-8x
Back to the equation:
+(-8x)
We get rid of parentheses
3x-8x+8=0
We add all the numbers together, and all the variables
-5x+8=0
We move all terms containing x to the left, all other terms to the right
-5x=-8
x=-8/-5
x=1+3/5

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