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3(5x-1)+2(-4+8x)=3(10x-5)+6
We simplify the equation to the form, which is simple to understand
3(5x-1)+2(-4+8x)=3(10x-5)+6
Reorder the terms in parentheses
+(+15x-3)+2*(-4+8x)=3*(10x-5)+6
Remove unnecessary parentheses
+15x-3+2+*(-4+8x+)=+3+*(+10x-5+)+6
Reorder the terms in parentheses
+15x-3+(-8+16x)=3*(10x-5)+6
Remove unnecessary parentheses
+15x-3-8+16x=+3+*(+10x-5+)+6
Reorder the terms in parentheses
+15x-3-8+16x=+(+30x-15)+6
Remove unnecessary parentheses
+15x-3-8+16x=+30x-15+6
We move all terms containing x to the left and all other terms to the right.
+15x+16x-30x=-15+6+3+8
We simplify left and right side of the equation.
+1x=+2
We divide both sides of the equation by 1 to get x.
x=2
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