-0.1*x+0.5+ln(4x)=ln(56)

Solution for -0.1*x+0.5+ln(4x)=ln(56) equation:

Simplifying
-0.1x + 0.5 + ln(4x) = ln(56)

Remove parenthesis around (4x)
-0.1x + 0.5 + ln * 4x = ln(56)

Reorder the terms for easier multiplication:
-0.1x + 0.5 + 4ln * x = ln(56)

Multiply ln * x
-0.1x + 0.5 + 4lnx = ln(56)

Reorder the terms:
0.5 + 4lnx + -0.1x = ln(56)

Reorder the terms for easier multiplication:
0.5 + 4lnx + -0.1x = 56ln

Solving
0.5 + 4lnx + -0.1x = 56ln

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-56ln' to each side of the equation.
0.5 + 4lnx + -56ln + -0.1x = 56ln + -56ln

Reorder the terms:
0.5 + -56ln + 4lnx + -0.1x = 56ln + -56ln

Combine like terms: 56ln + -56ln = 0
0.5 + -56ln + 4lnx + -0.1x = 0

Add '-0.5' to each side of the equation.
0.5 + -56ln + 4lnx + -0.5 + -0.1x = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -56ln + 4lnx + -0.1x = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -56ln + 4lnx + -0.1x = 0 + -0.5
-56ln + 4lnx + -0.1x = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-56ln + 4lnx + -0.1x = -0.5

Add '0.1x' to each side of the equation.
-56ln + 4lnx + -0.1x + 0.1x = -0.5 + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-56ln + 4lnx + 0.0 = -0.5 + 0.1x
-56ln + 4lnx = -0.5 + 0.1x

Reorder the terms:
0.5 + -56ln + 4lnx + -0.1x = -0.5 + 0.1x + 0.5 + -0.1x

Reorder the terms:
0.5 + -56ln + 4lnx + -0.1x = -0.5 + 0.5 + 0.1x + -0.1x

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + -56ln + 4lnx + -0.1x = 0.0 + 0.1x + -0.1x
0.5 + -56ln + 4lnx + -0.1x = 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
0.5 + -56ln + 4lnx + -0.1x = 0.0

The solution to this equation could not be determined.