Solve the following equation
round to the nearest tenth
5.8 + 5.9x = 6x + 5

x=8

Step-by-step explanation:

5.8+5.9x=6x+5

5.9x-6x=5-5.8

-0.1x= -0.8

x=8

x = 8

Step-by-step explanation:

1. Move the variables to be on one side of the equation. We will do this by canceling out 5.9x with -5.9. What you do to one side of the equation you must also do to the other.

5.8 + 5.9x = 6x + 5

       -5.9x   -5.9x

                 ↓

        5.8 = .1x + 5

2. Move the 5 to the left of the equation, so it can be with its like term. We will do this by canceling out 5 with -5. What you do to one side of the equation you must also do to the other.

5.8 = .1x + 5

-5              -5

        ↓

   .8 = .1x

3. Get the x alone. Since x is being multiplied by .1 we will do this by dividing by .1. This is because division is the inverse of multiplication. What you do to one side of the equation you must also do to the other.

     .8 = .1x

     .1     .1

         ↓

     8 = x

4. Rewrite the equation to have the variable come first.

x = 8

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.