John M. answered • 11/10/12

Vice President, Chemical Engineer, Scientist, Tutor, Trainer, Coach

Hello Amanda,

Explanation: In the equation you provided 6x + 4 = 5x + 2 you need to solve for the unknown variable: x . To solve for x, you need to combine, total, and isolate the x terms to either side of the equation so that the total x terms are on one side of the equation. Then you combine, total, and isolate all remaining terms to the other side of the equation so that the x terms equal the remaining combined terms. The final answer will have x equals a number (x= ?).

Summary: To isolate x you have to move all terms with x to one side of the equation and move all of the other terms to the other side of the equation.

6x + 4 = 5x + 2

Move the smaller x term to the side with the larger x term: **subtract 5x from both sides of the equation**

6x + 4 - 5x = 5x + 2 - 5x

x + 4 = 2

Now isolate x by moving the 4 to the other side of the equation: **subtract 4 from both sides of the equation**

x + 4 - 4 = 2 - 4

x = -2

Best regards,

John McKay