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4 (x-2)+5 (x-3)=3(2x+1)-2 (x+6)
We simplify the equation to the form, which is simple to understand
4(x-2)+5(x-3)=3(2x+1)-2(x+6)
Reorder the terms in parentheses
+(+4x-8)+5*(x-3)=3*(2x+1)-2*(x+6)
Remove unnecessary parentheses
+4x-8+5+*(+x-3+)=+3+*(+2x+1+)-2+*(+x+6+)
Reorder the terms in parentheses
+4x-8+(+5x-15)=3*(2x+1)-2*(x+6)
Remove unnecessary parentheses
+4x-8+5x-15=+3+*(+2x+1+)-2+*(+x+6+)
Reorder the terms in parentheses
+4x-8+5x-15=+(+6x+3)-2*(x+6)
Remove unnecessary parentheses
+4x-8+5x-15=+6x+3-2+*(+x+6+)
Reorder the terms in parentheses
+4x-8+5x-15=+6x+3+(-2x-12)
Remove unnecessary parentheses
+4x-8+5x-15=+6x+3-2x-12
We move all terms containing x to the left and all other terms to the right.
+4x+5x-6x+2x=+3-12+8+15
We simplify left and right side of the equation.
+5x=+14
We divide both sides of the equation by 5 to get x.
x=2.8
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