x-2(2-3/2x)=2(4-x)+10

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Solution for x-2(2-3/2x)=2(4-x)+10 equation:



x-2(2-3/2x)=2(4-x)+10
We move all terms to the left:
x-2(2-3/2x)-(2(4-x)+10)=0
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
x-2(-3/2x+2)-(2(-1x+4)+10)=0
We multiply parentheses
x+6x-(2(-1x+4)+10)-4=0
We calculate terms in parentheses: -(2(-1x+4)+10), so:
2(-1x+4)+10
We multiply parentheses
-2x+8+10
We add all the numbers together, and all the variables
-2x+18
Back to the equation:
-(-2x+18)
We add all the numbers together, and all the variables
7x-(-2x+18)-4=0
We get rid of parentheses
7x+2x-18-4=0
We add all the numbers together, and all the variables
9x-22=0
We move all terms containing x to the left, all other terms to the right
9x=22
x=22/9
x=2+4/9

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