High School

Rewrite the steps more clearly for the following equations:

1. Start with the equation:
\[ 1000 \times \frac{50000 + 10000}{X} - 50 \]

2. Simplify the equation to:
\[ 1000X - 50000 - 60000 \]

3. Set the equation to equal a constant:
\[ 1000X = 110,000 \]

4. Solve for \( X \):
\[ X = \frac{110,000}{1000} = 110 \]

Please clarify how the equations transition from one step to the next.

Answer :

Final answer:

To solve the equation step by step, combine like terms, simplify the expression, set it equal to zero, and solve.

Explanation:

To solve the given equation step by step:



  1. Start by simplifying the expression on the right side of the equation:
  • Combine like terms: 50000+10000=60000
  • Divide 60000 by X: 60000/X
Combine the simplified expression with the left side of the equation:
  • Subtract 50 from 1000: 1000 - 50 = 950
  • Combine 950 with the simplified expression: 950 + 60000/X
Set the expression equal to zero:
  • So, we have the equation: 950 + 60000/X = 0
Solve the equation:
  • Subtract 950 from both sides of the equation: 60000/X = -950
  • Multiply both sides by X: 60000 = -950X
  • Divide both sides by -950: X = 60000/-950
Simplify the solution:
  • Dividing 60000 by -950, we get X = -63.16

Learn more about Solving linear equations here:

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