SOLUTION: 4(3x+5)=1/256

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 4(3x+5)=1/256       Log On


   



Question 269065: 4(3x+5)=1/256

Answer by persian52(161) About Me  (Show Source):
You can put this solution on YOUR website!
4(3x+5)=(1)/(256)
Divide each term in the equation by 4.
(4(3x+5))/(4)=(1)/(256)*(1)/(4)
Simplify the left-hand side of the equation by canceling the common terms.
3x+5=(1)/(256)*(1)/(4)
Simplify the right-hand side of the equation by simplifying each term.
3x+5=(1)/(1024)
Since 5 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 5 from both sides.
3x=-5+(1)/(1024)
Simplify the right-hand side of the equation.
3x=-(5119)/(1024)
Divide each term in the equation by 3.
(3x)/(3)=-(5119)/(1024)*(1)/(3)
Simplify the left-hand side of the equation by canceling the common terms.
x=-(5119)/(1024)*(1)/(3)
Simplify the right-hand side of the equation by simplifying each term.
x=-(5119)/(3072)