To solve the problem step-by-step, let's break it down into manageable parts.
### Step 1: Solve for the Number
1. Given Equation:
[tex]\[
3x - 22 = 68
\][/tex]
2. Isolate [tex]\( x \)[/tex]:
First, add 22 to both sides to begin isolating [tex]\( x \)[/tex]:
[tex]\[
3x - 22 + 22 = 68 + 22
\][/tex]
Simplify:
[tex]\[
3x = 90
\][/tex]
3. Divide Both Sides by 3:
To completely isolate [tex]\( x \)[/tex], divide both sides by 3:
[tex]\[
x = \frac{90}{3}
\][/tex]
Simplify:
[tex]\[
x = 30
\][/tex]
So, the number we are looking for is [tex]\( 30 \)[/tex].
### Step 2: Find the Number when Multiplied by 7 and Then Reduced by 2
1. Multiply the Number by 7:
Start by multiplying the number [tex]\( 30 \)[/tex] by 7:
[tex]\[
7 \times 30 = 210
\][/tex]
2. Reduce by 2:
Next, subtract 2 from the result:
[tex]\[
210 - 2 = 208
\][/tex]
### Final Result
Therefore, the number when multiplied by 7 and then reduced by 2 is [tex]\( 208 \)[/tex].
- The original number is [tex]\( 30 \)[/tex].
- The resultant value after multiplying by 7 and reducing by 2 is [tex]\( 208 \)[/tex].
