1. 1.5/8 x +110 = 1/8 x +130
The easiest thing to start is to get rid of the whole numbers, as much as you can. So subtract 110 from both sides, leaving:
a. 1.5/8x = 1/8x + 20
To get rid of the fractions, multiply each term by 8x, leaving:
b. 1.5 = 1 + 160x
Again get rid of whole numbers:
c. .5 = 160x
And do the division to get the answer:
d. .003125 = x
Check the answer!
a. 1.5/8(.003125) + 110 = 1/8(.003125) + 130
b. 1.5/.025 + 110 = 1/.025 + 130
c. 60 + 110 = 40 + 130
d. 170 = 170
2. a/8-8=312-4a+10
Add whole numbers on the right:
a. a/8 - 8 = 322 - 4a
Get rid of whole number on the left:
b. a/8 = 330 -4a
Multiply by 8 for each term to get rid of fraction:
c. a = 2640 - 32a
And rearrange terms:
d. 33a= 2640
And divide:
e. a = 80
3. 14m-2=2(8m-5)Get rid of the parens by multiplying:
a. 14m-2=16m-10
Reduce the whole numbers:
b. 14m = 16m -8
Reduce the variables and rearrange terms
c. 8 = 2m
...and divide to get the answer:
d. 4 = m
Substitute 4 for m in the original equation and check:
56-2 = 2(32-5)
54 = 64-10
54 = 54
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