Question

Solve the equation:
$12 - \left( {m - 3} \right) = 4$

Answer 1

Hint: For this question, first of all, open the bracket to simplify the equation and then add and subtract from both sides in such a way that one side is only variable and the other side is only constant (numbers).

Complete step by step solution:
First of all, we need to open the bracket which will simplify the equation and as such, we will be able to solve it. One thing which you need to keep in mind is that minus multiplied by minus is plus.
So, we simplify this equation.
$\
  12 - \left( {m - 3} \right) = 4 \\
  12 - m - \left( { - 3} \right) = 4 \\
  12 - m + 3 = 4 \\
  12 + 3 - m = 4 \\
  15 - m = 4 \\
\ $
Now, we add m and subtract 4 in both sides which will eliminate m from the left-hand side and will eliminate 4 from the right-hand side. This will make the left-hand side free from the variable which is m and will free the right-hand side from the constant which will make such an equation which will directly give the result.
$\
  15 - m = 4 \\
  15 - m + m - 4 = 4 + m - 4 \\
  15 - 4 = m + 4 - 4 \\
  11 = m \\
\ $

Note:
This question could have been completed in another way also. After opening the bracket and simplifying the equation, we got the equation which was $15 - m = 4$.
Now, m could have been taken directly to the other side of the equation and similarly 4 could have been taken to the other side too. This is done by the mode of changing the sign of whatever is to be taken to the other side. For example, when we take -m to the other side, it will become +m and similarly, when we take +4 from one side to the other side, it will become -4. So, the equation will look like this.
$\
  15 - m = 4 \\
  15 - 4 = m \\
\ $