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5(x-3)+4(2x-7)=6(x-8)-3(x-2)
We simplify the equation to the form, which is simple to understand
5(x-3)+4(2x-7)=6(x-8)-3(x-2)
Reorder the terms in parentheses
+(+5x-15)+4*(2x-7)=6*(x-8)-3*(x-2)
Remove unnecessary parentheses
+5x-15+4+*(+2x-7+)=+6+*(+x-8+)-3+*(+x-2+)
Reorder the terms in parentheses
+5x-15+(+8x-28)=6*(x-8)-3*(x-2)
Remove unnecessary parentheses
+5x-15+8x-28=+6+*(+x-8+)-3+*(+x-2+)
Reorder the terms in parentheses
+5x-15+8x-28=+(+6x-48)-3*(x-2)
Remove unnecessary parentheses
+5x-15+8x-28=+6x-48-3+*(+x-2+)
Reorder the terms in parentheses
+5x-15+8x-28=+6x-48+(-3x+6)
Remove unnecessary parentheses
+5x-15+8x-28=+6x-48-3x+6
We move all terms containing x to the left and all other terms to the right.
+5x+8x-6x+3x=-48+6+15+28
We simplify left and right side of the equation.
+10x=+1
We divide both sides of the equation by 10 to get x.
x=0.1
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