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6(x-2)-5(x-2)=4(4x-3)-5(2-3x)
We simplify the equation to the form, which is simple to understand
6(x-2)-5(x-2)=4(4x-3)-5(2-3x)
Reorder the terms in parentheses
+(+6x-12)-5*(x-2)=4*(4x-3)-5*(2-3x)
Remove unnecessary parentheses
+6x-12-5+*(+x-2+)=+4+*(+4x-3+)-5+*(+2-3x+)
Reorder the terms in parentheses
+6x-12+(-5x+10)=4*(4x-3)-5*(2-3x)
Remove unnecessary parentheses
+6x-12-5x+10=+4+*(+4x-3+)-5+*(+2-3x+)
Reorder the terms in parentheses
+6x-12-5x+10=+(+16x-12)-5*(2-3x)
Remove unnecessary parentheses
+6x-12-5x+10=+16x-12-5+*(+2-3x+)
Reorder the terms in parentheses
+6x-12-5x+10=+16x-12+(-10+15x)
Remove unnecessary parentheses
+6x-12-5x+10=+16x-12-10+15x
We move all terms containing x to the left and all other terms to the right.
+6x-5x-16x-15x=-12-10+12-10
We simplify left and right side of the equation.
-30x=-20
We divide both sides of the equation by -30 to get x.
x=0.66666666666667
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