8-3(x-2)=2(4-3x)-4.5

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Solution for 8-3(x-2)=2(4-3x)-4.5 equation:



8-3(x-2)=2(4-3x)-4.5
We move all terms to the left:
8-3(x-2)-(2(4-3x)-4.5)=0
We add all the numbers together, and all the variables
-3(x-2)-(2(-3x+4)-4.5)+8=0
We multiply parentheses
-3x-(2(-3x+4)-4.5)+6+8=0
We calculate terms in parentheses: -(2(-3x+4)-4.5), so:
2(-3x+4)-4.5
We multiply parentheses
-6x+8-4.5
We add all the numbers together, and all the variables
-6x+3.5
Back to the equation:
-(-6x+3.5)
We add all the numbers together, and all the variables
-3x-(-6x+3.5)+14=0
We get rid of parentheses
-3x+6x-3.5+14=0
We add all the numbers together, and all the variables
3x+10.5=0
We move all terms containing x to the left, all other terms to the right
3x=-10.5
x=-10.5/3
x=-3+1/2

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