6x + 4= 5x + 2

Question

linear equations

Answer 1

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

Answer 2

In the following equation  6x + 4 = 5x + 2  , you have an unknown variable (x) that you need to solve for. To do so, you want to isolate this variable to one side of the equation (i.e., x= ) by moving all terms with the variable in question to one side and all other terms to the other side of the equation.

     6x + 4 = 5x + 2

     subtract 5x from both sides of the equation

     6x + 4 - 5x = 5x + 2 - 5x 

     x + 4 = 2

     subtract 4 from both sides of the equation 

     x + 4 - 4 = 2 - 4 

     x = -2 

 

Answer 3

Hi there,

1. Substract 5x from both sides:    6x - 5x + 4 = 5x - 5x + 2   :    x + 4 = 2

2. Substract 4 from both sides:      x + 4 - 4 = 2 - 4    :    x  =  - 2

Regards,