Question

What is the solution to the equation show your work 3/5(x-5/8) =1/12-x+7/8

Answer 1

Combine like terms
1/12+7/8=2/24+21/24=23/24
3/5(x-5/8)=23/24-x
one easey way is to get rid of nasty fractions


find lcd of denoms
5 and 24
hmm
24*5=120

times both sides by 120

72(x-5/8)=115-120x
distribute
72x-45=115-120x
add 120x to both sides
192x-45=115
add 45 to both sides
192x=160
divide both sides by 192
x=5/6

x=5/6

Answer 2

1. distribute

 step 1:              3                  3

                        ----- ×   X =  ------X

                          5                  5

 

                3               5           3           Ima convert this into a decimal

            ------- ×   -  -----  = -  ------      ----> negative .375

                5              8            8

2. write the problem now

        3                          1              7

      ----- X - 0.375 =    ---- - X +  ----

        5                         12             8

3. I would convert them into decimals and solve

      0.6x - 0.375 = 0.08 - x + 0.875

        +x                         +x

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

      1.6x - 0.375 = 0.08 + 0.876

         1.6x - 0.375 = 0.956

                  +0.375   +0.375

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

      1.6x = 1.331

      ------    -------

      1.6        1.6

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

        x = 0.831875

rounded up : 0.83