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