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-5(2x+1)+3(x-2)=2(4x-1)-3(2x-3)
We simplify the equation to the form, which is simple to understand
-5(2x+1)+3(x-2)=2(4x-1)-3(2x-3)
Reorder the terms in parentheses
+(-10x-5)+3*(x-2)=2*(4x-1)-3*(2x-3)
Remove unnecessary parentheses
-10x-5+3+*(+x-2+)=+2+*(+4x-1+)-3+*(+2x-3+)
Reorder the terms in parentheses
-10x-5+(+3x-6)=2*(4x-1)-3*(2x-3)
Remove unnecessary parentheses
-10x-5+3x-6=+2+*(+4x-1+)-3+*(+2x-3+)
Reorder the terms in parentheses
-10x-5+3x-6=+(+8x-2)-3*(2x-3)
Remove unnecessary parentheses
-10x-5+3x-6=+8x-2-3+*(+2x-3+)
Reorder the terms in parentheses
-10x-5+3x-6=+8x-2+(-6x+9)
Remove unnecessary parentheses
-10x-5+3x-6=+8x-2-6x+9
We move all terms containing x to the left and all other terms to the right.
-10x+3x-8x+6x=-2+9+5+6
We simplify left and right side of the equation.
-9x=+18
We divide both sides of the equation by -9 to get x.
x=-2
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