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3(5x+3)=7(x+5)-3(2-x)
We simplify the equation to the form, which is simple to understand
3(5x+3)=7(x+5)-3(2-x)
Reorder the terms in parentheses
+(+15x+9)=7*(x+5)-3*(2-x)
Remove unnecessary parentheses
+15x+9=+7+*(+x+5+)-3+*(+2-x+)
Reorder the terms in parentheses
+15x+9=+(+7x+35)-3*(2-x)
Remove unnecessary parentheses
+15x+9=+7x+35-3+*(+2-x+)
Reorder the terms in parentheses
+15x+9=+7x+35+(-6+3x)
Remove unnecessary parentheses
+15x+9=+7x+35-6+3x
We move all terms containing x to the left and all other terms to the right.
+15x-7x-3x=+35-6-9
We simplify left and right side of the equation.
+5x=+20
We divide both sides of the equation by 5 to get x.
x=4
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