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When 4 times the number increased by 30, the answer is the same as when 70 decreased by the number. What was my number?

Respuesta :

jcherry99

Answer:

8

Step-by-step explanation:

Read a little bit at a time.

  • 4x + 30 is the first clause
  • 70 - x    is the second clause. These two things are equal

Equation

  • 4x + 30 = 70 - x                     Subtract 30 from both sides

Solution

  • 4x + 30 - 30 = 70 - 30 - x      Collect like terms
  • 4x = 40 - x                              Add x to both sides
  • 4x + x = 40                             Combine
  • 5x = 40                                   Divide by 5
  • 5x/5 = 40/5
  • x = 8
wegnerkolmp2741o

Answer:

x=8

Step-by-step explanation:

4x+30 =70-x

Add x to each side

4x+x+30 =70-x+x

4x+x +30 =70

5x +30 = 70

Subtract 30 from each side

5x +30 -30 =70-30

5x = 40

Divide each side by 5

5x/5 = 40/5

x = 8


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