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8+5(2x+3)=2(5x+4)-5(3x+6)
We simplify the equation to the form, which is simple to understand
8+5(2x+3)=2(5x+4)-5(3x+6)
Reorder the terms in parentheses
8+(+10x+15)=2*(5x+4)-5*(3x+6)
Remove unnecessary parentheses
+8+10x+15=+2+*(+5x+4+)-5+*(+3x+6+)
Reorder the terms in parentheses
8+10x+15=+(+10x+8)-5*(3x+6)
Remove unnecessary parentheses
+8+10x+15=+10x+8-5+*(+3x+6+)
Reorder the terms in parentheses
8+10x+15=+10x+8+(-15x-30)
Remove unnecessary parentheses
+8+10x+15=+10x+8-15x-30
We move all terms containing x to the left and all other terms to the right.
+10x-10x+15x=+8-30-8-15
We simplify left and right side of the equation.
+15x=-45
We divide both sides of the equation by 15 to get x.
x=-3
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