4(13/2+3x)=2x+6

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Solution for 4(13/2+3x)=2x+6 equation:



4(13/2+3x)=2x+6
We move all terms to the left:
4(13/2+3x)-(2x+6)=0
Domain of the equation: 2+3x)!=0
We move all terms containing x to the left, all other terms to the right
3x)!=-2
x!=-2/1
x!=-2
x∈R
We add all the numbers together, and all the variables
4(+3x+13/2)-(2x+6)=0
We multiply parentheses
12x-(2x+6)+13/2*4=0
We get rid of parentheses
12x-2x-6+13/2*4=0
We multiply all the terms by the denominator
12x*2*4-2x*2*4+13-6*2*4=0
We add all the numbers together, and all the variables
12x*2*4-2x*2*4-35=0
Wy multiply elements
96x*4-16x*4-35=0
Wy multiply elements
384x-64x-35=0
We add all the numbers together, and all the variables
320x-35=0
We move all terms containing x to the left, all other terms to the right
320x=35
x=35/320
x=7/64

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