SOLUTION: Please show me how to solve the problems such as: 4r -7 = 8r + 13, 5x - 8 = 6 - 2x, t/5 - 7 + 31 = 8(6-4), and 9-5(4-3) = -16 x/3 ("x over 3" and "t over 5 "). Than

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Question 93330: Please show me how to solve the problems such as:
4r -7 = 8r + 13, 5x - 8 = 6 - 2x, t/5 - 7 + 31 = 8(6-4), and
9-5(4-3) = -16 x/3 ("x over 3" and "t over 5 ").
Thank you.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
"Solve 4r -7 = 8r + 13"




Start with the given equation


Subtract 8r from both sides


Add 7 to both sides


Combine like terms 4r and -8r on the left side to get -4r


Combine like terms on the right side


Divide both sides by -4 to isolate r



Reduce

--------------------------------------------------------------
Answer:
So our answer is





"Solve 5x - 8 = 6 - 2x"



Start with the given equation


Add 8 to both sides


Add 2x to both sides


Combine like terms 5x and 2x on the left side to get 7x


Combine like terms on the right side


Divide both sides by 7 to isolate x



Reduce

--------------------------------------------------------------
Answer:
So our answer is





"Solve t/5 - 7 + 31 = 8(6-4)"



Simplify the right side

Multiply both sides by 5

Distribute and multiply




Start with the given equation


Add 35 to both sides


Subtract 155 from both sides


Combine like terms on the right side

--------------------------------------------------------------
Answer:
So our answer is





"Solve 9-5(4-3) = -16 x/3"

Distribute and simplify the left side

Multiply both sides by 3

Divide both sides by -16

Divide both sides by -16

--------------------------------------------------------------
Answer:
So our answer is

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