Question

Solve the following equation:
\[2\left( {x + 4} \right) = 12\]

Answer 1

- Hint: First of all, write the given equation and solve for \[x\] by using simple math applications like additions, subtractions, multiplications and divisions. So, use this concept to reach the solution of the given problem.


Complete step-by-step solution -

The given equation is \[2\left( {x + 4} \right) = 12\].
Dividing with 2 on both sides, we get
\[
   \Rightarrow \dfrac{{2\left( {x + 4} \right)}}{2} = \dfrac{{12}}{2} \\
   \Rightarrow x + 4 = 6 \\
\]
Subtracting 4 on both sides, we get
\[
   \Rightarrow x + 4 - 4 = 6 - 4 \\
  \therefore x = 2 \\
\]
Thus, the solution of the equation \[2\left( {x + 4} \right) = 12\] is \[x = 2\].
Note: The given equation is a linear equation in one variable. Thus, we get one value by solving the given equation. To verify the answer, substitute the obtained value in the given equation and if both LHS and RHS are equal, then our obtained answer is correct.