To solve the equation [tex]\( x - 3 = 12 - 7 \)[/tex], let's go through the steps in detail:
1. Simplify the right side of the equation:
[tex]\[
12 - 7 = 5
\][/tex]
Now the equation is simplified to:
[tex]\[
x - 3 = 5
\][/tex]
2. Isolate the variable [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we need to get rid of the [tex]\(-3\)[/tex] on the left side. We can do this by adding [tex]\( 3 \)[/tex] to both sides of the equation:
[tex]\[
x - 3 + 3 = 5 + 3
\][/tex]
3. Simplify both sides:
On the left side, [tex]\(-3 + 3\)[/tex] cancels out, leaving just [tex]\( x \)[/tex]. On the right side, [tex]\( 5 + 3 \)[/tex] adds up to [tex]\( 8 \)[/tex]. So we have:
[tex]\[
x = 8
\][/tex]
Thus, the value of [tex]\( x \)[/tex] is [tex]\( 8 \)[/tex].
