Let's solve the equation step by step:
Given equation:
[tex]\[ x - 9 = 37 \][/tex]
Step 1: Isolate the variable [tex]\( x \)[/tex].
To do this, we need to get rid of the constant term on the left side of the equation. We can do this by adding 9 to both sides of the equation:
[tex]\[ x - 9 + 9 = 37 + 9 \][/tex]
Step 2: Simplify both sides of the equation.
On the left side:
[tex]\[ x - 9 + 9 = x \][/tex]
since [tex]\(-9 + 9 = 0\)[/tex].
On the right side:
[tex]\[ 37 + 9 = 46 \][/tex]
So, the simplified equation is:
[tex]\[ x = 46 \][/tex]
Thus, the solution to the equation [tex]\( x - 9 = 37 \)[/tex] is:
[tex]\[ x = 46 \][/tex]
