The only way this has no solution is if all the xs cancel. Since we have 2x+4x on the right, we need a 4 in the blank to get 4x+2x on the left.
That might give no solutions or infinite solutions; we'd need to check.
Answer: 4
The number that should be in the missing space is 4 , so that the equation formed has no solution , Option B is the correct answer.
An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.
The equation given is
_(x+2)+2x=2(x+6)+4x
An equation will have no solution when the coefficient of the variable are same on both the side of the equation.
Here Right Hand Side has 2x+ 4x = 6x , 6 as the coefficient of x
In the Left Hand Side , 2x , 2 is the coefficient of x
Therefore to make the equation have no solution , LHS should have total 6x
and so the missing space will have 4.
Option B is the correct answer.
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