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10x-2(3x-6)=4(5x-6)-10
We simplify the equation to the form, which is simple to understand
10x-2(3x-6)=4(5x-6)-10
Reorder the terms in parentheses
10x+(-6x+12)=4*(5x-6)-10
Remove unnecessary parentheses
+10x-6x+12=+4+*(+5x-6+)-10
Reorder the terms in parentheses
10x-6x+12=+(+20x-24)-10
Remove unnecessary parentheses
+10x-6x+12=+20x-24-10
We move all terms containing x to the left and all other terms to the right.
+10x-6x-20x=-24-10-12
We simplify left and right side of the equation.
-16x=-46
We divide both sides of the equation by -16 to get x.
x=2.875
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