Solve the following equation please

Question

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

 

 

 

Answer 1

This should be a straightforward, single variable (the "x") problem.

 

The overall strategy is to expand all the terms, then move all the "x"s to one side and the constants to the other.

 

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

10x + 15 = 7x - 3

 

we are going to move all the x's to the left, constants to the right

10x + 15 = 7x - 3

-7x            -7x

----------------------

3x  + 15   = -3

       -15       -15

-------------------

 

3x = -18; divide both sides by three to get to a single "x" =

 

x = -6

 

Then to check your solution, go back to the original problem as see if -6 truly does work.