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4 (x-2)+3 (x+5)=-10+3 (-2+x)+2 (x+4)
We simplify the equation to the form, which is simple to understand
4(x-2)+3(x+5)=-10+3(-2+x)+2(x+4)
Reorder the terms in parentheses
+(+4x-8)+3*(x+5)=-10+3*(-2+x)+2*(x+4)
Remove unnecessary parentheses
+4x-8+3+*(+x+5+)=-10+3+*(-2+x+)+2+*(+x+4+)
Reorder the terms in parentheses
+4x-8+(+3x+15)=-10+3*(-2+x)+2*(x+4)
Remove unnecessary parentheses
+4x-8+3x+15=-10+3+*(-2+x+)+2+*(+x+4+)
Reorder the terms in parentheses
+4x-8+3x+15=-10+(-6+3x)+2*(x+4)
Remove unnecessary parentheses
+4x-8+3x+15=-10-6+3x+2+*(+x+4+)
Reorder the terms in parentheses
+4x-8+3x+15=-10-6+3x+(+2x+8)
Remove unnecessary parentheses
+4x-8+3x+15=-10-6+3x+2x+8
We move all terms containing x to the left and all other terms to the right.
+4x+3x-3x-2x=-10-6+8+8-15
We simplify left and right side of the equation.
+2x=-15
We divide both sides of the equation by 2 to get x.
x=-7.5
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