enotechris | Certified Educator

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

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

atyourservice | Student

1.5/8 x +110 = 1/8 x +130

bring like terms to the same side

5/8 x - 1/8 x = 130 - 110

combine them

4/8x = 20

simplify

1/2x = 20

divide by 1/2

x = 10

2.a/8-8=312-4a+10

add 8 to both sides (To cancel out the 8 on the left)

a/8 = 312 - 4a + 10 + 8

bring like terms to the same side

a/8 + 4a = 312 + 10 + 8

4a= 32a

combine like terms

32a+a/8 = 330

33a/8 = 330

multiply by 8 to get rid of the "divide by 8"

33a = 2640

divide by 33

a=8

3. 14m-2=2(8m-5)

distibute the 2

14m-2= 16m -10

move like terms to the same side

-2 + 10 = 16m - 14

8 = 2m

divide by 2

4 = m

revolution | Student

1.5/8x+110= 1/8x+130

remove 110 from both side

1.5/8x= 1/8x+20

Multiply throughout by 8x

1.5= 1+160x

160x=0.5

divide by 160

x= 0.003125

2)a/8-8= 312-4a+10

a/8= 330-4a

multiply throughout by 8

a= 2640-32a

33a= 2640

a= 80

3) 14m-2=2(8m-5)

Expand the bracket

14m-2=16m-10

Subtract 16m from both sides

-2m-2=-10