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what is the answer to 30=5(x+1)

 Jun 1, 2016
 #1
avatar+102 
+5

Reorder the terms: 30 = 5(1 + x)

                               30 = (1 * 5 + x * 5)

                               30 = (5 + 5x)

 

Solving: 30 = 5 + 5x

 

Solving for variable 'x'.:

 

Move all terms containing x to the left, all other terms to the right.

 

Add '-5x' to each side of the equation. 30 + -5x = 5 + 5x + -5x

 

Combine like terms: 5x + -5x = 0

                                   30 + -5x = 5 + 0

                                   30 + -5x = 5

 

Add '-30' to each side of the equation. 30 + -30 + -5x = 5 + -30

 

Combine like terms: 30 + -30 = 0

                                   0 + -5x = 5 + -30

                                  -5x = 5 + -30

 

Combine like terms: 5 + -30 = -25

-5x = -25 

 

Divide each side by 5: x = 5

 

Answer: x = 5

 Jun 1, 2016
 #2
avatar+129847 
0

Here's another option :

 

30  = 5 (x + 1)    divide both sides by 5

 

6  = x + 1     subtract 1 from both sides

 

5 = x

 

 

 

cool cool cool

 Jun 1, 2016

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