Question

How do you solve `7x + 4 = 3x + 7`?

Answer 1

`x=3/4`

Explanation:

`"collect terms in x on the left side and numeric values on"`
`"the right side of the equation"`

`"subtract 3x from both sides"`

`7x-3x+4=cancel(3x)cancel(-3x)+7`

`rArr4x+4=7`

`"subtract 4 from both sides"`

`4xcancel(+4)cancel(-4)=7-4`

`rArr4x=3`

`"divide both sides by 4"`

`(cancel(4) x)/cancel(4)=3/4`

`rArrx=3/4`

`color(blue)"As a check"`

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

`"left "=21/4+16/4=37/4`

`"right "=9/4+28/4=37/5`

`rArrx=3/4" is the solution"`