1/3z-2=5-8/3z

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Solution for 1/3z-2=5-8/3z equation:



1/3z-2=5-8/3z
We move all terms to the left:
1/3z-2-(5-8/3z)=0
Domain of the equation: 3z!=0
z!=0/3
z!=0
z∈R
Domain of the equation: 3z)!=0
z!=0/1
z!=0
z∈R
We add all the numbers together, and all the variables
1/3z-(-8/3z+5)-2=0
We get rid of parentheses
1/3z+8/3z-5-2=0
We multiply all the terms by the denominator
-5*3z-2*3z+1+8=0
We add all the numbers together, and all the variables
-5*3z-2*3z+9=0
Wy multiply elements
-15z-6z+9=0
We add all the numbers together, and all the variables
-21z+9=0
We move all terms containing z to the left, all other terms to the right
-21z=-9
z=-9/-21
z=3/7

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