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4(x+2)-5(-2x+3)=3(x+4)
We simplify the equation to the form, which is simple to understand
4(x+2)-5(-2x+3)=3(x+4)
Reorder the terms in parentheses
+(+4x+8)-5*(-2x+3)=3*(x+4)
Remove unnecessary parentheses
+4x+8-5+*(-2x+3+)=+3+*(+x+4+)
Reorder the terms in parentheses
+4x+8+(+10x-15)=3*(x+4)
Remove unnecessary parentheses
+4x+8+10x-15=+3+*(+x+4+)
Reorder the terms in parentheses
+4x+8+10x-15=+(+3x+12)
Remove unnecessary parentheses
+4x+8+10x-15=+3x+12
We move all terms containing x to the left and all other terms to the right.
+4x+10x-3x=+12-8+15
We simplify left and right side of the equation.
+11x=+19
We divide both sides of the equation by 11 to get x.
x=1.72727272727
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