To determine the solution to the equation [tex]\( x - 4 = 3.5 \)[/tex], follow these steps:
1. Understand the equation: It's given that [tex]\( x - 4 = 3.5 \)[/tex].
2. Isolate the variable: To find the value of [tex]\( x \)[/tex], you need to isolate [tex]\( x \)[/tex] on one side of the equation. To do this, you need to eliminate the constant term on the same side as [tex]\( x \)[/tex].
3. Add 4 to both sides:
[tex]\[
x - 4 + 4 = 3.5 + 4
\][/tex]
When you add 4 to the left side, the -4 and +4 cancel out, leaving you with:
[tex]\[
x = 3.5 + 4
\][/tex]
4. Perform the arithmetic:
[tex]\[
3.5 + 4 = 7.5
\][/tex]
So, the solution to the equation [tex]\( x - 4 = 3.5 \)[/tex] is [tex]\( x = 7.5 \)[/tex].
Hence, the correct answer is:
B. [tex]\( x = 7.5 \)[/tex]
