2(2b+1)/3=3(b-2)

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Solution for 2(2b+1)/3=3(b-2) equation:


2(2b+1)/3=3(b-2)

We simplify the equation to the form, which is simple to understand 
2(2b+1)/3=3(b-2)

Reorder the terms in parentheses
+(+4b+2)/3=3*(b-2)

Reorder the terms in parentheses
+(+1.3333333333333b + 0.66666666666667)=3*(b-2)

Remove unnecessary parentheses
+1.3333333333333b + 0.66666666666667=+3+*(+b-2+)

Reorder the terms in parentheses
+1.3333333333333b + 0.66666666666667=+(+3b-6)

Remove unnecessary parentheses
+1.3333333333333b + 0.66666666666667=+3b-6

We move all terms containing b to the left and all other terms to the right. 
+1.3333333333333b-3b=-6-0.66666666666667

We simplify left and right side of the equation. 
-1.6666666666667b=-6.6666666666667

We divide both sides of the equation by -1.6666666666667 to get b. 
b=4

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