(s+25)/2-100x10=5 solve for s
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-100*10=-1000
5+-1000=-995=(s+25)/2
-995*2=-1900=s+25
-1990-25=s
-2015=s
To solve for s in the equation (s + 25)/2 - 100x10 = 5, we can follow these steps:
Step 1: Simplify the equation by performing the operations in order:
- Multiply 100 x 10 = 1000.
- Distribute the division operator by dividing 25 by 2: (s/2 + 25/2) - 1000 = 5.
Step 2: Simplify further:
- Combine the fractions: (s + 25/2) - 1000 = 5.
- Find a common denominator: (2s/2 + 25/2) - 1000 = 5.
- Combine the numerators: (2s + 25)/2 - 1000 = 5.
Step 3: Isolate the variable s:
- Add 1000 to both sides of the equation: (2s + 25)/2 - 1000 + 1000 = 5 + 1000.
- Cancel out the -1000 and +1000 on the left side: (2s + 25)/2 = 1005.
Step 4: Isolate the variable by multiplying both sides of the equation by 2:
- Multiply both sides by 2: 2 * (2s + 25)/2 = 1005 * 2.
- This cancels out the 2 on the left side, leaving us with: 2s + 25 = 2010.
Step 5: Solve for s:
- Subtract 25 from both sides of the equation to isolate s: (2s + 25) - 25 = 2010 - 25.
- This cancels out the 25 on the left side, leaving us with: 2s = 1985.
Step 6: Divide both sides of the equation by 2 to solve for s:
- Divide by 2: (2s)/2 = 1985/2.
- This cancels out the 2 on the left side, leaving us with: s = 1985/2.
Therefore, the solution for s is s = 1985/2.