Question

Select the correct answer.

What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7

Answer 1

x =
`(4)/(3)`

Explanation:

Given

- x +
`(3)/(7)` = 2x -
`(25)/(7)` ( multiply through by 7 to clear the fractions )

- 7x + 3 = 14x - 25 ( subtract 14x from both sides )

- 21x + 3 = - 25 ( subtract 3 from both sides )

- 21x = - 28 ( divide both sides by - 21 )

x =
`(-28)/(-21)` =
`(4)/(3)`

Answer 2

= 4/ 3

Explanation:

-x+3/7=2x-25/7

We move all terms to the left:

-x+3/7-(2x-25/7)=0

We add all the numbers together, and all the variables

-x-(+2x-25/7)+3/7=0

We add all the numbers together, and all the variables

-1x-(+2x-25/7)+3/7=0

We get rid of parentheses

-1x-2x+25/7+3/7=0

We multiply all the terms by the denominator

-1x*7-2x*7+25+3=0

We add all the numbers together, and all the variables

-1x*7-2x*7+28=0

Wy multiply elements

-7x-14x+28=0

We add all the numbers together, and all the variables

-21x+28=0

We move all terms containing x to the left, all other terms to the right

-21x=-28

x=-28/-21

x=1+1/3