Question

Find the value of the variable “b” for the given equation:
\[\dfrac{{2b}}{3} - 5 = 3\]?

Answer 1

Hint: Here the given question need to be solved by simplifying using left hand side and right hand side of the equation, here the numeric value needs to be transfer on the right hand side of the equation, then the variable needs to be compared and solved for the value.

Complete step-by-step solution:
Here the given equation is \[\dfrac{{2b}}{3} - 5 = 3\]
Here we need to be first solve the numeric value on the right hand side of the equation, on solving we get:
\[
   \Rightarrow \dfrac{{2b}}{3} - 5 = 3 \\
   \Rightarrow \dfrac{{2b}}{3} = 3 + 5 \\
   \Rightarrow 2b = 8 \times 3 = 24 \\
 \]
Now we have to solve for the variable, for which we need to solve by dividing the coefficient of the variable to the right hand side of the equation, on solving we get:
\[
   \Rightarrow 2b = 24 \\
   \Rightarrow b = \dfrac{{24}}{2} = 12 \\
 \]
Here the value of the variable is found to be twelve.
Additional Information: Here on solving the equation we used two steps, one for the numeric separation, and another one for the division by coefficient, this is because of the accurate answer of the variable.

Note: Here we have solved the variable, by solving the numeric digit separately and variable separately, since here only one variable was placed with single unit power, hence the value is also single, as the variable power increases the number of values will also increase accordingly.