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3(x-5)=7x+12
We simplify the equation to the form, which is simple to understand
3(x-5)=7x+12
Reorder the terms in parentheses
+(+3x-15)=7x+12
Remove unnecessary parentheses
+3x-15=+7x+12
We move all terms containing x to the left and all other terms to the right.
+3x-7x=+12+15
We simplify left and right side of the equation.
-4x=+27
We divide both sides of the equation by -4 to get x.
x=-6.75
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