Question 107661


{{{-4(x+6)+6=2x-6(x+7)}}} Start with the given equation




{{{-4x-24+6=2x-6x-42}}} Distribute



{{{-4x-18=2x-6x-42}}} Combine like terms on the left side



{{{-4x-18=-4x-42}}} Combine like terms on the right side



{{{-4x=-4x-42+18}}}Add 18 to both sides



{{{-4x+4x=-42+18}}} Add 4x to both sides



{{{0x=-42+18}}} Combine like terms on the left side



{{{0x=-24}}} Combine like terms on the right side



{{{0=-24}}} Simplify


Since this equation is <font size=4><b>never</b></font> true for any x value, this means there are no solutions.



So the equation is <a href=http://www.algebra.com/algebra/homework/coordinate/lessons/Types-of-systems-inconsistent-dependent-independent.lesson>inconsistent</a>