If F is between E and G, and EF = 8x - 14, FG = 4x -1 and EG =59, then what does x equal?

8x - 14 + 4x - 1 = 59

12 x - 15 = 59

12 x = 74

x = 37/6

If EF=10x+12,FG=14,and EG=136, find the value of x.

To find the value of x, we can use the fact that F is located between E and G. This means that the distances EF and FG, when added together, should be equal to the distance EG.

Given that EF = 8x - 14, FG = 4x - 1, and EG = 59, we can set up the equation:

EF + FG = EG

Substituting the given values:

(8x - 14) + (4x - 1) = 59

Now we can solve for x:

Combine the like terms:

8x + 4x - 14 - 1 = 59

12x - 15 = 59

Add 15 to both sides:

12x = 74

Divide both sides by 12:

x = 6.17

Therefore, x is approximately equal to 6.17.