Solve equation 7 - 2(2x - 6) = 2 + 3(-x + 5)

Question

please show steps thanks

Answer 1

We need to use the Distributive Property to clear the parentheses. It says that:

 

a(b + c) = (a* b) + (a * c) = ab + ac

 

So we have, 

 

7 - 2(2x - 6) = 2 + 3(-x + 5)

7 - 4x + 12 = 2 - 3x + 15

 

We now need to combine like terms

 

19 - 4x = 17 - 3x

 

Now we need to get all of the x-terms on one side. Let's add 3x to both sides. We get:

 

19 - 4x + 3x = 17 - 3x + 3x    The 3x terms will now be removed from the right side leaving:

 

19 - x = 17    Subtract 19 from both sides to get:

 

19 - 19 - x = 17 - 19

0 - x = -2

-x = - 2     Divide both sides by -1.

 

x = 2 is the solution.