Question

How do you solve `3( 2- x ) + 6x = 18`?

Answer 1

By arranging the equation

Explanation:

`6 - 3x + 6x = 18`

after multiplying 3 by the first term.

`6 + 3x = 18`

`3x = 18-6`

`3x = 12`

`x=12/3 = 4`

Your answer is `x=4`

Answer 2

`x=4`

Explanation:

`"distribute parenthesis on left side of equation"`

`6-3x+6x=18larrcolor(blue)"simplify left side"`

`rArr6+3x=18`

`"subtract 6 from both sides"`

`cancel(6)cancel(-6)+3x=18-6`

`rArr3x=12`

`"divide both sides by 3"`

`(cancel(3) x)/cancel(3)=12/3`

`rArrx=4`

`color(blue)"As a check"`

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

`(3xx-2)+(6xx4)=-6+24=18=" right side"`

`rArrx=4" is the solution"`