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3x-4(7x+3)=5x+7(9x-10)
We simplify the equation to the form, which is simple to understand
3x-4(7x+3)=5x+7(9x-10)
Reorder the terms in parentheses
3x+(-28x-12)=5x+7*(9x-10)
Remove unnecessary parentheses
+3x-28x-12=+5x+7+*(+9x-10+)
Reorder the terms in parentheses
3x-28x-12=5x+(+63x-70)
Remove unnecessary parentheses
+3x-28x-12=+5x+63x-70
We move all terms containing x to the left and all other terms to the right.
+3x-28x-5x-63x=-70+12
We simplify left and right side of the equation.
-93x=-58
We divide both sides of the equation by -93 to get x.
x=0.623655913978
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