Sure! Let's solve each equation step-by-step.
### 1. Solve for [tex]\( x \)[/tex] in the equation [tex]\( x + 12 = 5 \)[/tex]
To isolate [tex]\( x \)[/tex], we need to get [tex]\( x \)[/tex] by itself on one side of the equation. We'll do this by performing the inverse operation of adding 12, which is subtracting 12, on both sides of the equation:
[tex]\[
x + 12 - 12 = 5 - 12
\][/tex]
Simplify both sides:
[tex]\[
x = -7
\][/tex]
So, the solution to the equation [tex]\( x + 12 = 5 \)[/tex] is [tex]\( x = -7 \)[/tex].
### 2. Solve for [tex]\( m \)[/tex] in the equation [tex]\( -3m = -18 \)[/tex]
To isolate [tex]\( m \)[/tex], we need to get [tex]\( m \)[/tex] by itself on one side of the equation. We'll do this by performing the inverse operation of multiplying by -3, which is dividing by -3, on both sides of the equation:
[tex]\[
\frac{-3m}{-3} = \frac{-18}{-3}
\][/tex]
Simplify both sides:
[tex]\[
m = 6
\][/tex]
So, the solution to the equation [tex]\( -3m = -18 \)[/tex] is [tex]\( m = 6 \)[/tex].
Therefore, the solutions to the given equations are:
1. [tex]\( x = -7 \)[/tex]
2. [tex]\( m = 6 \)[/tex]
