How do you solve 2+6x=7+7x?

2 Answers
Apr 21, 2018

x=-5

Explanation:

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

"subtract 7x from both sides"

2+6x-7x=7cancel(+7x)cancel(-7x)

" subtracting 2 from both sides to get the numeric values"
"on one side"

rArrcancel2-cancel(2)-x=(7-2)

rArr-x=5

"multiply both sides by "-1

-1xx-x=-1xx5

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 "=2+(6xx-5)=2-30=-28

"right "=7+(7xx-5)=7-35=-28

rArrx=-5" is the solution"

Apr 21, 2018

x=-5

Explanation:

Firstly, remember whatever we do to one side, we must do to the other.

Isolate x to one side by subtracting 6x:

2+cancel(6x)=7+x

Isolate x again by cancelling out the constant (7) by subtracting 7:

-5=cancel7+x -> -5=x