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2(3x+4)-3(5x-6)+4(7x+8)=115
We simplify the equation to the form, which is simple to understand
2(3x+4)-3(5x-6)+4(7x+8)=115
Reorder the terms in parentheses
+(+6x+8)-3*(5x-6)+4*(7x+8)=115
Remove unnecessary parentheses
+6x+8-3+*(+5x-6+)+4+*(+7x+8+)=+115
Reorder the terms in parentheses
+6x+8+(-15x+18)+4*(7x+8)=115
Remove unnecessary parentheses
+6x+8-15x+18+4+*(+7x+8+)=+115
Reorder the terms in parentheses
+6x+8-15x+18+(+28x+32)=115
Remove unnecessary parentheses
+6x+8-15x+18+28x+32=+115
We move all terms containing x to the left and all other terms to the right.
+6x-15x+28x=+115-8-18-32
We simplify left and right side of the equation.
+19x=+57
We divide both sides of the equation by 19 to get x.
x=3
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