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3(2-x)-2(5-4x)=4(5x-11)-3(2x-7)
We simplify the equation to the form, which is simple to understand
3(2-x)-2(5-4x)=4(5x-11)-3(2x-7)
Reorder the terms in parentheses
+(+6-3x)-2*(5-4x)=4*(5x-11)-3*(2x-7)
Remove unnecessary parentheses
+6-3x-2+*(+5-4x+)=+4+*(+5x-11+)-3+*(+2x-7+)
Reorder the terms in parentheses
+6-3x+(-10+8x)=4*(5x-11)-3*(2x-7)
Remove unnecessary parentheses
+6-3x-10+8x=+4+*(+5x-11+)-3+*(+2x-7+)
Reorder the terms in parentheses
+6-3x-10+8x=+(+20x-44)-3*(2x-7)
Remove unnecessary parentheses
+6-3x-10+8x=+20x-44-3+*(+2x-7+)
Reorder the terms in parentheses
+6-3x-10+8x=+20x-44+(-6x+21)
Remove unnecessary parentheses
+6-3x-10+8x=+20x-44-6x+21
We move all terms containing x to the left and all other terms to the right.
-3x+8x-20x+6x=-44+21-6+10
We simplify left and right side of the equation.
-9x=-19
We divide both sides of the equation by -9 to get x.
x=2.11111111111
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