Answer :
To solve the equation [tex]\( x - 4 = 3.5 \)[/tex], we need to find the value of [tex]\( x \)[/tex] that makes this equation true. Let's go through the steps:
1. Start with the equation:
[tex]\[
x - 4 = 3.5
\][/tex]
2. Add 4 to both sides of the equation. This is done to isolate [tex]\( x \)[/tex] on one side. When we add 4 to both sides, the equation becomes:
[tex]\[
x - 4 + 4 = 3.5 + 4
\][/tex]
3. Simplify both sides:
- On the left side, [tex]\( -4 + 4 \)[/tex] cancels out, leaving us with [tex]\( x \)[/tex].
- On the right side, [tex]\( 3.5 + 4 \)[/tex] equals [tex]\( 7.5 \)[/tex].
So, the simplified equation is:
[tex]\[
x = 7.5
\][/tex]
Therefore, the solution to the equation is [tex]\( x = 7.5 \)[/tex]. The correct answer is option C: [tex]\( x = 7.5 \)[/tex].
1. Start with the equation:
[tex]\[
x - 4 = 3.5
\][/tex]
2. Add 4 to both sides of the equation. This is done to isolate [tex]\( x \)[/tex] on one side. When we add 4 to both sides, the equation becomes:
[tex]\[
x - 4 + 4 = 3.5 + 4
\][/tex]
3. Simplify both sides:
- On the left side, [tex]\( -4 + 4 \)[/tex] cancels out, leaving us with [tex]\( x \)[/tex].
- On the right side, [tex]\( 3.5 + 4 \)[/tex] equals [tex]\( 7.5 \)[/tex].
So, the simplified equation is:
[tex]\[
x = 7.5
\][/tex]
Therefore, the solution to the equation is [tex]\( x = 7.5 \)[/tex]. The correct answer is option C: [tex]\( x = 7.5 \)[/tex].