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

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



3x+2(x-4)-4(13-2x)=(6x-3)(-2)+3x
We move all terms to the left:
3x+2(x-4)-4(13-2x)-((6x-3)(-2)+3x)=0
We add all the numbers together, and all the variables
3x+2(x-4)-4(-2x+13)-((6x-3)(-2)+3x)=0
We multiply parentheses
3x+2x+8x-((6x-3)(-2)+3x)-8-52=0
We multiply parentheses ..
3x+2x+8x-((-12x+6)+3x)-8-52=0
We calculate terms in parentheses: -((-12x+6)+3x), so:
(-12x+6)+3x
We add all the numbers together, and all the variables
3x+(-12x+6)
We get rid of parentheses
3x-12x+6
We add all the numbers together, and all the variables
-9x+6
Back to the equation:
-(-9x+6)
We add all the numbers together, and all the variables
13x-(-9x+6)-60=0
We get rid of parentheses
13x+9x-6-60=0
We add all the numbers together, and all the variables
22x-66=0
We move all terms containing x to the left, all other terms to the right
22x=66
x=66/22
x=3

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