Question

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

Answer 1

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

Answer 2

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