How do I solve the following math questions: `x/10-3/10=-3/5`    ;  `3/10x+5=3x-2/5`   ;  `1/4x+2(1/2x-2)=2`   and `1.2x+4.6=8.2-0.6x` `` Thank you  

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

1) `x/10 - 3/10 = -3/5`

`` To solve we will need to isolate x.

First we will add 3/10 for both sides.

`==gt x/10 = -3/5 + 3/10 `

`==gt x/10 = -6/10 + 3/10 `

`==gt x/10 = -3/10`

`` Now we will multiply by 10.

`==gt x = -3`

``

2)`3/10 x+ 5 = 3x-2/5`

`` Combine like terms.

`==gt 3/10 x - 3x = -2/5 - 5 `

`==gt 3/10 x - 30/10 x = -2/5 - 25/5`

`==gt (3-30)/10 x = -27/5 `

`==gt -27/10x = -27/5`

`` Multiply by `-10/27 `

`==gt x = -27/5 * -10/27 `

`==gt x = 10/5 `

`==gt x =2`

3) `1/4 x + 2(1/2 x -2) = 2 `

`==gt 1/4 x + x - 4 = 2 `

`==gt 1/4 x + x = 6 `

`==gt 1/4 x + 4/4 x = 6 `

`==gt 5/4 x = 6 `

`==gt x = 6 (4/5) `

`==gt x = 24/5`

4) `1.2x + 4.6 = 8.2 - 0.6x`

`` Combine like terms.

`==gt 1.2x + 0.6x = 8.2 - 4.6 `

`==gt (1.2 + 0.6) x = 3.6 `

`==gt 1.8 x = 3.6`

`` Divide by 1.8

`==gt x = 3.6/1.8 = 36/18 = 2 `

`==gt x = 2`

seemaenotes's profile pic

Seema Adiga | High School Teacher | (Level 2) Adjunct Educator

Posted on

`x/10`  = `-3/5`  + `3/10`

`x/10=-3/10`

`x = -3`

` ` 2) `3/10 -3x = -2/5 -5`

`(-27x)/10 = -27/5`

`x= (27*10)/(5*27)`

`x=2`

3) `(1x/4) + 2(x/2 - 2) =2`

`x/4 +x -4 = 2`

`(x+4x)/4 = 2+4 = 6`

`5x = 24`

`x=24/5`

`4) 1.2x + 0.6x = 8.2 - 4.6`

`1.8x = 3.6`

`x = 2`

 

 

raidersc's profile pic

raidersc | Student, College Freshman | eNotes Newbie

Posted on

x= - 9/10

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