Multiply both sides by 2.7186x - 14

 

Cancel on the left, distribute on the right:

 = 

119 = 7·2.7186x - 98

Add 98 to both sides:

217 = 7·2.7186x

Divide both sides by 7

31 = 2.7186x

Take natural logarithms of both sides:

ln(31) = ln(2.7186x)

Use the rule of lags that allows you to write the
log of an exponential as the exoponent multiplied
by the log of the vase of the exponential.

ln(31) = 6x·ln(2.718)

divide both sides by 6·ln(2.718)

 = x

0.5723905486 = x

[Note that 2.718 is a close approximation to e = 2.718281828459...]

Edwin