How do you solve 7+ 3x = 6x - 87+3x=6x8?

2 Answers
Jun 23, 2017

x=15x=15

Explanation:

7+3x=6x-87+3x=6x8
Minus both side by 7
7+3x-7=6x-8-77+3x7=6x87
3x=6x-153x=6x15
Minus both side by 6x6x
3x-6x=6x-15-6x3x6x=6x156x
-3x=-153x=15
Multiply both side by -11
3x=153x=15
divide both side by 3
(3x)/3=15/33x3=153
x=5x=5
Solved
Hope this help!!

Jun 23, 2017

x=5x=5

Explanation:

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

"add 8 to both sides"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"