M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.

x = 5

Step-by-step explanation:

Since both sides are given, set both sides equal to eachother.

3x + 1 = 5x - 9

Segment CM is on the left and segment MB is on the right. From now on, solve for x.

Step 1: Isolate x by itself by subtracting the lesser value

3x + 1 = 5x - 9

-3x        -3x                     the x's on the left cross out

 1 = 2x - 9

+9         +9                      having x on one side

10 = 2x

Step 2: Divide each side by 2 to get rid of x's coefficient

10 = 2x

/2     /2

5 = x

Solution: x = 5

Solving for CB: Substitute x for both sides since x = 5

3(5) + 1 = side CM

15 + 1 = side CM

16 = side CM

Solving for CB: Solve for the other side (segment MB)

5(5) - 9 = side MB

25 - 9 = side MB

14 = side MB

Solving for CB: Lastly, add up the sides

16 + 14 = segment CB

30 = segment CB

true

step-by-step explanation:

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this