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3(5x-2)=3(4x+1)-2(3x+2)
We simplify the equation to the form, which is simple to understand
3(5x-2)=3(4x+1)-2(3x+2)
Reorder the terms in parentheses
+(+15x-6)=3*(4x+1)-2*(3x+2)
Remove unnecessary parentheses
+15x-6=+3+*(+4x+1+)-2+*(+3x+2+)
Reorder the terms in parentheses
+15x-6=+(+12x+3)-2*(3x+2)
Remove unnecessary parentheses
+15x-6=+12x+3-2+*(+3x+2+)
Reorder the terms in parentheses
+15x-6=+12x+3+(-6x-4)
Remove unnecessary parentheses
+15x-6=+12x+3-6x-4
We move all terms containing x to the left and all other terms to the right.
+15x-12x+6x=+3-4+6
We simplify left and right side of the equation.
+9x=+5
We divide both sides of the equation by 9 to get x.
x=0.555555555556
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