4x-7=7/2+x

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Solution for 4x-7=7/2+x equation:



4x-7=7/2+x
We move all terms to the left:
4x-7-(7/2+x)=0
Domain of the equation: 2+x)!=0
We move all terms containing x to the left, all other terms to the right
x)!=-2
x!=-2/1
x!=-2
x∈R
We add all the numbers together, and all the variables
4x-(+x+7/2)-7=0
We get rid of parentheses
4x-x-7-7/2=0
We multiply all the terms by the denominator
4x*2-x*2-7-7*2=0
We add all the numbers together, and all the variables
4x*2-x*2-21=0
Wy multiply elements
8x-2x-21=0
We add all the numbers together, and all the variables
6x-21=0
We move all terms containing x to the left, all other terms to the right
6x=21
x=21/6
x=3+1/2

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