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2(5x-3)+4x+3(2x-7)=5(3x+1)+18
We simplify the equation to the form, which is simple to understand
2(5x-3)+4x+3(2x-7)=5(3x+1)+18
Reorder the terms in parentheses
+(+10x-6)+4x+3*(2x-7)=5*(3x+1)+18
Remove unnecessary parentheses
+10x-6+4x+3+*(+2x-7+)=+5+*(+3x+1+)+18
Reorder the terms in parentheses
+10x-6+4x+(+6x-21)=5*(3x+1)+18
Remove unnecessary parentheses
+10x-6+4x+6x-21=+5+*(+3x+1+)+18
Reorder the terms in parentheses
+10x-6+4x+6x-21=+(+15x+5)+18
Remove unnecessary parentheses
+10x-6+4x+6x-21=+15x+5+18
We move all terms containing x to the left and all other terms to the right.
+10x+4x+6x-15x=+5+18+6+21
We simplify left and right side of the equation.
+5x=+50
We divide both sides of the equation by 5 to get x.
x=10
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