what is the solution to the equation 2x + 5 = 6x - 5

Answer 1

2x + 5 = 6x - 5

We are first going to combine the x terms so there is one x term on the left side of the equation. To do this we subtract 6x from both sides of the equation:

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

-4x +5 = -5

Then we are going to combine the numerical terms so there is one numerical term on the right side of the equation: To do this we subtract 5 from both sides of the equation:

-4x + 5 - 5 = -5 -5

-4x = -10

Next we want to end up with x = a value. To do that we divide both sides of the equation by -4.

-4x = -10

----- -----

-4 -4

x = 10/4

Then we reduce the fraction to its lowest terms by dividing numerator and denominator by 2:

x = 5/2

Answer 2

4x = 10

x = 10/4