3/2x-5=2^0.5x-4

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Solution for 3/2x-5=2^0.5x-4 equation: 



3/2x-5=2^0.5x-4

We move all terms to the left:

3/2x-5-(2^0.5x-4)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We get rid of parentheses

3/2x-2^0.5x+4-5=0

We multiply all the terms by the denominator


-(2^0.5x)*2x+4*2x-5*2x+3=0

We multiply parentheses

-4x+4*2x-5*2x+3=0

Wy multiply elements

-4x+8x-10x+3=0

We add all the numbers together, and all the variables

-6x+3=0

We move all terms containing x to the left, all other terms to the right

-6x=-3

x=-3/-6

x=1/2

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