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6(9x-5)-4(3+5x)-3(8x-2)=2
We simplify the equation to the form, which is simple to understand
6(9x-5)-4(3+5x)-3(8x-2)=2
Reorder the terms in parentheses
+(+54x-30)-4*(3+5x)-3*(8x-2)=2
Remove unnecessary parentheses
+54x-30-4+*(+3+5x+)-3+*(+8x-2+)=+2
Reorder the terms in parentheses
+54x-30+(-12-20x)-3*(8x-2)=2
Remove unnecessary parentheses
+54x-30-12-20x-3+*(+8x-2+)=+2
Reorder the terms in parentheses
+54x-30-12-20x+(-24x+6)=2
Remove unnecessary parentheses
+54x-30-12-20x-24x+6=+2
We move all terms containing x to the left and all other terms to the right.
+54x-20x-24x=+2+30+12-6
We simplify left and right side of the equation.
+10x=+38
We divide both sides of the equation by 10 to get x.
x=3.8
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