Sure! Let's go through the detailed steps to solve the equation [tex]\( a + 15 = 10 \)[/tex].
### Step 1: Isolate the variable
To solve for [tex]\( a \)[/tex], we need to isolate it on one side of the equation. Currently, [tex]\( a \)[/tex] is on the left side and it is being added to 15.
### Step 2: Use inverse operation
To isolate [tex]\( a \)[/tex], we should undo the addition of 15. The inverse operation of addition is subtraction. Therefore, we should subtract 15 from both sides of the equation to maintain the equality.
Original equation:
[tex]\[ a + 15 = 10 \][/tex]
Subtract 15 from both sides:
[tex]\[ a + 15 - 15 = 10 - 15 \][/tex]
### Step 3: Simplify
After performing the subtraction on both sides, we get:
[tex]\[ a = 10 - 15 \][/tex]
Now, we simply calculate the right-hand side:
[tex]\[ a = -5 \][/tex]
### Solution
The value of [tex]\( a \)[/tex] that satisfies the equation [tex]\( a + 15 = 10 \)[/tex] is:
[tex]\[ a = -5 \][/tex]
This is the step-by-step solution to isolate the variable and solve the equation.
