(3(2-z))/5=z

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Solution for (3(2-z))/5=z equation:



(3(2-z))/5=z
We move all terms to the left:
(3(2-z))/5-(z)=0
We add all the numbers together, and all the variables
(3(-1z+2))/5-z=0
We add all the numbers together, and all the variables
-1z+(3(-1z+2))/5=0
We multiply all the terms by the denominator
-1z*5+(3(-1z+2))=0
We calculate terms in parentheses: +(3(-1z+2)), so:
3(-1z+2)
We multiply parentheses
-3z+6
Back to the equation:
+(-3z+6)
Wy multiply elements
-5z+(-3z+6)=0
We get rid of parentheses
-5z-3z+6=0
We add all the numbers together, and all the variables
-8z+6=0
We move all terms containing z to the left, all other terms to the right
-8z=-6
z=-6/-8
z=3/4

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