To solve the equation [tex]\( 15.36 + x = 32.11 \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Isolate the variable [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], we need to get it alone on one side of the equation. Since [tex]\( x \)[/tex] is currently on the left with 15.36, we need to remove 15.36 from that side. We can do this by subtracting 15.36 from both sides of the equation.
2. Subtract 15.36 from both sides:
[tex]\[
15.36 + x - 15.36 = 32.11 - 15.36
\][/tex]
3. Simplify the equation: On the left side, [tex]\( 15.36 - 15.36 \)[/tex] cancels out, leaving us with [tex]\( x \)[/tex]:
[tex]\[
x = 32.11 - 15.36
\][/tex]
4. Calculate the right side: Perform the subtraction [tex]\( 32.11 - 15.36 \)[/tex].
The result of the subtraction is:
[tex]\[
x = 16.75
\][/tex]
So, the solution to the equation [tex]\( 15.36 + x = 32.11 \)[/tex] is [tex]\( x = 16.75 \)[/tex].
