3/2x-7=1/2x-4

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Solution for 3/2x-7=1/2x-4 equation:



3/2x-7=1/2x-4
We move all terms to the left:
3/2x-7-(1/2x-4)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-4)!=0
x∈R
We get rid of parentheses
3/2x-1/2x+4-7=0
We multiply all the terms by the denominator
4*2x-7*2x+3-1=0
We add all the numbers together, and all the variables
4*2x-7*2x+2=0
Wy multiply elements
8x-14x+2=0
We add all the numbers together, and all the variables
-6x+2=0
We move all terms containing x to the left, all other terms to the right
-6x=-2
x=-2/-6
x=1/3

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