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4(x-3)-5(x+7)+8(x-4)=3(2x+1)-7(x-9)
We simplify the equation to the form, which is simple to understand
4(x-3)-5(x+7)+8(x-4)=3(2x+1)-7(x-9)
Reorder the terms in parentheses
+(+4x-12)-5*(x+7)+8*(x-4)=3*(2x+1)-7*(x-9)
Remove unnecessary parentheses
+4x-12-5+*(+x+7+)+8+*(+x-4+)=+3+*(+2x+1+)-7+*(+x-9+)
Reorder the terms in parentheses
+4x-12+(-5x-35)+8*(x-4)=3*(2x+1)-7*(x-9)
Remove unnecessary parentheses
+4x-12-5x-35+8+*(+x-4+)=+3+*(+2x+1+)-7+*(+x-9+)
Reorder the terms in parentheses
+4x-12-5x-35+(+8x-32)=3*(2x+1)-7*(x-9)
Remove unnecessary parentheses
+4x-12-5x-35+8x-32=+3+*(+2x+1+)-7+*(+x-9+)
Reorder the terms in parentheses
+4x-12-5x-35+8x-32=+(+6x+3)-7*(x-9)
Remove unnecessary parentheses
+4x-12-5x-35+8x-32=+6x+3-7+*(+x-9+)
Reorder the terms in parentheses
+4x-12-5x-35+8x-32=+6x+3+(-7x+63)
Remove unnecessary parentheses
+4x-12-5x-35+8x-32=+6x+3-7x+63
We move all terms containing x to the left and all other terms to the right.
+4x-5x+8x-6x+7x=+3+63+12+35+32
We simplify left and right side of the equation.
+8x=+145
We divide both sides of the equation by 8 to get x.
x=18.125
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