Question

How do you solve `7+ 3x = 6x - 8`?

Answer 1

`x=15`

Explanation:

`7+3x=6x-8`
Minus both side by 7
`7+3x-7=6x-8-7`
`3x=6x-15`
Minus both side by `6x`
`3x-6x=6x-15-6x`
`-3x=-15`
Multiply both side by `-1`
`3x=15`
divide both side by 3
`(3x)/3=15/3`
`x=5`
Solved
Hope this help!!

Answer 2

`x=5`

Explanation:

`"collect x-terms on one side of the equation and numeric"`
`"values on the other"`

`"add 8 to both sides"`

`7+8+3x=6xcancel(-8)cancel(+8)`

`rArr15+3x=6x`

`"subtract 3x from both sides"`

`15cancel(+3x)cancel(-3x)=6x-3x`

`rArr15=3x`

`"divide both sides by 3"`

`15/3=(cancel(3) x)/cancel(3)`

`rArrx=5`

`color(blue)"As a check"`

Substitute this value into the equation and if both sides are equal then it is the solution.

`"left side "=7+(3xx5)=7+15=22`

`"right side "=(6xx5)-8=30-8=22`

`rArrx=5" is the solution"`