Question

How do you solve $\dfrac{x}{7} - 0.5 = 2.5$?

Answer 1

Hint: Here we will simplify the given expression using the basic properties. First will bring all the constants on one side of the equation and then simplify accordingly for the resultant required value for “x”.

Complete step-by-step solution:
Constants are the terms with fixed value such as the numbers it can be positive or negative whereas the variables are terms which do not have any fixed value and are denoted by small alphabets such as x, y, z, a, b, etc.
Take the given expression:
$\dfrac{x}{7} - 0.5 = 2.5$
Observe the above equation, move the term without any variable that is constant on the right hand side of the equation. Remember when you move any term from one side to another sign of the term also changes. Negative terms become positive.
$ \Rightarrow \dfrac{x}{7} = 2.5 + 0.5$
Simplify the above equation. When you add two positive terms, the resultant value is always positive.
$ \Rightarrow \dfrac{x}{7} = 3$
Perform cross multiplication in which the denominator of one side is multiplied with the numerator of the opposite side and vice versa.
$ \Rightarrow x = 3 \times 7$
Simplify the above equation.
$ \Rightarrow x = 21$
This is the required solution.

Note: Be careful about the sign convention when you move any term from one side to another. Always remember when any term is moved from one side to another then the sign of the term changes. Positive term becomes negative and negative term becomes positive. Be good in multiples and division. Since it is the most important fundamental to solve and simplify any mathematical expression. Remember multiples till twenty numbers.