To solve for x, first we have to simplify the equation:

`15x + 3/2 = 6`

Multiply the entire equation by 2 to make all the terms to be in whole number form

`(15x + 3/2 = 6)*2`

`30x + 3 = 12`

Subtract 3 on both sides

`30x + 3 -3 = 12 - 3`

`30x = 9`

Finally, divide both side by 30 to solve for x

`(30x)/(30) = (9)/(30)`

**`x = 9/30 = 3/10` -> answer**

To check for the answer, we can substitute `x = 3/10` in the original equation:

`15x + 3/2 = 6`

`15(3/10) + 3/2 = 6`

`45/10 + 3/2 = 6`

`9/2 + 3/2 = 6`

`12/2 = 6`

`6 = 6 c o r r e c t`

15x + 3/2 = 6

To solve this equation , first multiply everything by 2 .

By multiplying everything by 2 , you should get

30x + 3 = 12 now subtract 3 on both sides .

By subtracting 3 on both sides , you should get

30x = 9 now divide both sides by 30 to get " x " alone .

By dividing both sides by 30 , you should get

x = 9/30 simplify

x = 3/10 which is your answer

15x+3/2=6 To solve for x you need to seperate x from the equation

15x=6-3/2

15x=4.5

x=4.5/15

x=.3 or 3/10

15x+3/2=6 multiply the whole thing by 2 to get rid of the fraction

`2xx(15x+3/2=6)`

30x+3=12

now minus 3

30x=9

divide by 30 on both sides

`x=9/30`

this can be simplified to

`3/10`