3x-8(x+2)=5(4-3x)-1

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Solution for 3x-8(x+2)=5(4-3x)-1 equation:



3x-8(x+2)=5(4-3x)-1
We move all terms to the left:
3x-8(x+2)-(5(4-3x)-1)=0
We add all the numbers together, and all the variables
3x-8(x+2)-(5(-3x+4)-1)=0
We multiply parentheses
3x-8x-(5(-3x+4)-1)-16=0
We calculate terms in parentheses: -(5(-3x+4)-1), so:
5(-3x+4)-1
We multiply parentheses
-15x+20-1
We add all the numbers together, and all the variables
-15x+19
Back to the equation:
-(-15x+19)
We add all the numbers together, and all the variables
-5x-(-15x+19)-16=0
We get rid of parentheses
-5x+15x-19-16=0
We add all the numbers together, and all the variables
10x-35=0
We move all terms containing x to the left, all other terms to the right
10x=35
x=35/10
x=3+1/2

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