I need help with my algebra homework plz!!?

Question

please solve for x

3 1/2x + 2 3/4 = 5x + 2

thank you!

Answer 1

3.5x + 2.75 = 5x + 2

-3.5x              -3.5x

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

2.75 = 1.5x + 2

-2                 -2

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

.75 = 1.5x

----     ------

1.5      1.5

0.5 (or 1/2) = x

you should use fractions, since that's how the problem was presented.  I used decimals to make it easier to understand.

Answer 2

3.5x  + 2.75 = 5x + 2

first you need to move all of your variables to one side of the equal sign. I will move the x's to the right to avoid negative numbers.

2.75 = 1.5x + 2

then move all the whole numbers to the left

.75 = 1.5x

then you want to get your x all by itself so you divide

.5 = x

hope i helped

Answer 3

3 1/2x + 2 3/4 = 5x + 2

-3 1/2x              -31/2x

2 3/4 =1 1/2 x +2

-2                   -2

3/4=   1 1/2 x

x= 2/3 times 3/4

x=1/2

Answer 4

multiply both sides 4

     14x + 11 = 20x + 8

subtract 14x from both sides

               11 = 6x + 8

subtract 8 from both sides

                 3 = 6x

divide both sides by 6

               3/6 = x

               1/2 = x

substitute in the original equation to check

Answer 5

3 1/2x + 2 3/4 = 5x + 2      original problem

            -2 3/4   -2 3/4              take 2 3/4 away from each side, your  

                                            goal is to isolate x

3 1/2x = 5x - 3/4

-5x       -5x                      take away 5x from each side

-1 1/2x = -3/4

---------     ------

-1 1/2     -1 1/2                     divide each side by -1 1/2

x= .5                              

Answer 6

First, I prefer improper fractions, so I'll re-write the problem:

7x/2 + 11/4 = 5x+2

Multiply both sides by 4 to find a common denominator:

14x + 11 = 20x + 8

Combine like terms:

6x = 3

x = 1/2