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5(x+1)+2(2x+2)-8(x+2)=3(x+4)
We simplify the equation to the form, which is simple to understand
5(x+1)+2(2x+2)-8(x+2)=3(x+4)
Reorder the terms in parentheses
+(+5x+5)+2*(2x+2)-8*(x+2)=3*(x+4)
Remove unnecessary parentheses
+5x+5+2+*(+2x+2+)-8+*(+x+2+)=+3+*(+x+4+)
Reorder the terms in parentheses
+5x+5+(+4x+4)-8*(x+2)=3*(x+4)
Remove unnecessary parentheses
+5x+5+4x+4-8+*(+x+2+)=+3+*(+x+4+)
Reorder the terms in parentheses
+5x+5+4x+4+(-8x-16)=3*(x+4)
Remove unnecessary parentheses
+5x+5+4x+4-8x-16=+3+*(+x+4+)
Reorder the terms in parentheses
+5x+5+4x+4-8x-16=+(+3x+12)
Remove unnecessary parentheses
+5x+5+4x+4-8x-16=+3x+12
We move all terms containing x to the left and all other terms to the right.
+5x+4x-8x-3x=+12-5-4+16
We simplify left and right side of the equation.
-2x=+19
We divide both sides of the equation by -2 to get x.
x=-9.5
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