17.58=2lnx+3(0.375x)

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Solution for 17.58=2lnx+3(0.375x) equation: 


Simplifying
17.58 = 2lnx + 3(0.375x)

Remove parenthesis around (0.375x)
17.58 = 2lnx + 3 * 0.375x

Multiply 3 * 0.375
17.58 = 2lnx + 1.125x

Solving
17.58 = 2lnx + 1.125x

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
17.58 + -2lnx = 2lnx + -2lnx + 1.125x

Combine like terms: 2lnx + -2lnx = 0
17.58 + -2lnx = 0 + 1.125x
17.58 + -2lnx = 1.125x

Add '-17.58' to each side of the equation.
17.58 + -17.58 + -2lnx = -17.58 + 1.125x

Combine like terms: 17.58 + -17.58 = 0.00
0.00 + -2lnx = -17.58 + 1.125x
-2lnx = -17.58 + 1.125x

Divide each side by '-2nx'.
l = 8.79n-1x-1 + -0.5625n-1

Simplifying
l = 8.79n-1x-1 + -0.5625n-1

Reorder the terms:
l = -0.5625n-1 + 8.79n-1x-1

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