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4(x+5)=6x-2(x-5)
We simplify the equation to the form, which is simple to understand
4(x+5)=6x-2(x-5)
Reorder the terms in parentheses
+(+4x+20)=6x-2*(x-5)
Remove unnecessary parentheses
+4x+20=+6x-2+*(+x-5+)
Reorder the terms in parentheses
+4x+20=6x+(-2x+10)
Remove unnecessary parentheses
+4x+20=+6x-2x+10
We move all terms containing x to the left and all other terms to the right.
+4x-6x+2x=+10-20
We simplify left and right side of the equation.
0x=-10
0=-10
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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