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2(5x-2)+7x*2=4(7x-2)-8(10x+37,5)
We simplify the equation to the form, which is simple to understand
2(5x-2)+7x*2=4(7x-2)-8(10x+37,5)
Reorder the terms in parentheses
+(+10x-4)+14x=4*(7x-2)-8*(10x+37,5)
Remove unnecessary parentheses
+10x-4+14x=+4+*(+7x-2+)-8+*(+10x+37,5+)
Reorder the terms in parentheses
+10x-4+14x=+(+28x-8)-8*(10x+37,5)
Remove unnecessary parentheses
+10x-4+14x=+28x-8-8+*(+10x+37,5+)
Reorder the terms in parentheses
+10x-4+14x=+28x-8+(-80x-300)
Remove unnecessary parentheses
+10x-4+14x=+28x-8-80x-300
We move all terms containing x to the left and all other terms to the right.
+10x+14x-28x+80x=-8-300+4
We simplify left and right side of the equation.
+76x=-304
We divide both sides of the equation by 76 to get x.
x=-4
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