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1/2(2x-4)+3/4(8x-16)+2/3(-6x+9)=1/2(10x-20)
We simplify the equation to the form, which is simple to understand
1/2(2x-4)+3/4(8x-16)+2/3(-6x+9)=1/2(10x-20)
Simplifying:
+ 0.5*(2x-4)+3/4*(8x-16)+2/3*(-6x+9)=1/2*(10x-20)
Simplifying:
+ 0.5*(2x-4) + 0.75*(8x-16)+2/3*(-6x+9)=1/2*(10x-20)
Simplifying:
+ 0.5*(2x-4) + 0.75*(8x-16) + 0.666666666667*(-6x+9)=1/2*(10x-20)
Simplifying:
+ 0.5*(2x-4) + 0.75*(8x-16) + 0.666666666667*(-6x+9)=0.5*(10x-20)
Reorder the terms in parentheses
+(+1x-2) + 0.75*(8x-16) + 0.666666666667*(-6x+9)=0.5*(10x-20)
Remove unnecessary parentheses
+1x-2 + 0.75+*(+8x-16+) + 0.666666666667+*(-6x+9+)=0.5+*(+10x-20+)
Reorder the terms in parentheses
+1x-2+(+6x-12) + 0.666666666667*(-6x+9)=0.5*(10x-20)
Remove unnecessary parentheses
+1x-2+6x-12 + 0.666666666667+*(-6x+9+)=0.5+*(+10x-20+)
Reorder the terms in parentheses
+1x-2+6x-12+(-4x+6)=0.5*(10x-20)
Remove unnecessary parentheses
+1x-2+6x-12-4x+6=0.5+*(+10x-20+)
Reorder the terms in parentheses
+1x-2+6x-12-4x+6=+(+5x-10)
Remove unnecessary parentheses
+1x-2+6x-12-4x+6=+5x-10
We move all terms containing x to the left and all other terms to the right.
+1x+6x-4x-5x=-10+2+12-6
We simplify left and right side of the equation.
-2x=-2
We divide both sides of the equation by -2 to get x.
x=1
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