Question

6x + 12 = 10x − 4 1. Solve for x using two different methods

Answer 1

x=53/4 or 4x=53

Explanation:

First move the variable to the left-hand side and change its sign.

6x+12-10x=-41 to 6x-10x=-41-12

Then collect the like terms

6x-10x=-41-12 to -4x=-41-12 which equals to -4x=-53

Now you divide both sides of the equation by -4

-4x=-53 to x=53 over 4 then if you want you divide which gives you x=13.25

Second way:

Kind of the same thing as the first one

Move the variable to the left-hand side and change its sign

6x+12=10x-41 to 6x=12-10x=-41

Then you collect the like terms

6x-10x=-41-12 to -4x=-41-12

Now you multiply both sides of the equation by -1

-4x=-53 to 4x=53