(5x-4)/8-(x-3)/4=(x+6)/4

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Solution for (5x-4)/8-(x-3)/4=(x+6)/4 equation:



(5x-4)/8-(x-3)/4=(x+6)/4
We move all terms to the left:
(5x-4)/8-(x-3)/4-((x+6)/4)=0
We calculate fractions
5x/()+(-8x+24)/()+(-((x+6)*8)/()=0
We calculate terms in parentheses: +(-((x+6)*8)/(), so:
-((x+6)*8)/(
We multiply all the terms by the denominator
-((x+6)*8)
We calculate terms in parentheses: -((x+6)*8), so:
(x+6)*8
We multiply parentheses
8x+48
Back to the equation:
-(8x+48)
We get rid of parentheses
-8x-48
Back to the equation:
+(-8x-48)
We get rid of parentheses
5x/()+(-8x+24)/()-8x-48=0
We multiply all the terms by the denominator
5x+(-8x+24)-8x*()-48*()=0
We add all the numbers together, and all the variables
5x+(-8x+24)-8x*()=0
We get rid of parentheses
5x-8x-8x*()+24=0
We add all the numbers together, and all the variables
-3x-8x*()+24=0
We move all terms containing x to the left, all other terms to the right
-3x-8x*()=-24

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