Question

Solve for $x$: $2x + 5 = 65$.

Answer 1

Hint: Take the given expression and make the terms together by moving terms from one side to the other, keeping the sign convention under consideration and make the required term “X” the subject and simplify for the resultant required value.

Complete step by step answer:
Take the given expression: $2x + 5 = 65$
Move the constant term on the right hand side of the equation from the left hand side of the equation. When you move any term from one side to the another then the sign of the terms also changes. Positive term becomes negative and vice-versa.
$2x = 65 - 5$
Simplify the above expression finding the difference of the terms on the right hand side of the equation.
$2x = 60$
Term multiplicative on the one side if moved to the opposite side then it goes to the denominator.
$x = \dfrac{{60}}{2}$
Find factors for the term on the numerator of the above fraction.
$x = \dfrac{{2 \times 30}}{2}$
Common factors from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator.
$ \therefore x = 30$
This is the required solution.

Note:Be careful about the sign convention, while moving any term from one side to the other. Sign of the terms changes when you move any term from one to the another.Positive term becomes negative and the negative terms becomes positive.