Expert Answers
schwangmath eNotes educator| Certified Educator

Remember, "solving for x" means "getting x alone."  Always locate the variable (in this case x) and "move" all other numbers away from it.  So you must use inverse operations to achieve this.  In other words, use multiplication and division to "undo" each other and addition and subtraction to "undo" each other.  

To solve      5(x + 5) =50

     1.  Divide both sides of the equation by 5.

               5(x + 5)= 50                                                                      n                  5         5

             Result:     x + 5 = 10

      2.  Now subtract 5 from both sides.

                 x + 5 - 5= 10 - 5

                 Result:  x = 5

Because x is isolated (alone), you are finished.  x = 5 is your answer.

                                                                

                                                             

justaguide eNotes educator| Certified Educator

The equation 5(x+5)= 50 has to be solved for x

5(x+5)= 50

divide both the sides by 5

=> (x + 5) = 10

subtract 5 from both the sides

=> x = 5

The solution of 5(x+5)= 50 is x = 5

givingiswinning | Student

5(x+5)= 50

distribute 5
 
5x + 25 = 50
 
subtract 25
 
5x = 25
 
divide by 5
x = 5
atyourservice | Student

5(x+5)= 50

distribute the 5
 
5x + 25 = 50
 
now subtract 25
 
5x = 25
divide by 5
x = 5
jess1999 | Student

5 ( x + 5 ) = 50

To solve this equation , first distribute the 5

By distributing , you should get 

5x + 25 = 50 now subtract 25 on both sides

By subtracting on both sides , you should get

5x = 25 now divide both sides by 5 

By dividing both sides by 5 , you should get

x = 5 which is your answer

utilityfan | Student

Alternative Solution.

 

Using distributive laws:


5(X+5)=50

5x+25=50

     -25 -25

5x/5=25/5

x=5

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