Mathematics: Isaac wants the equation below to have no solution when the missing number is placed in the box. which number should he place in the box?

-4.7Explanation:-4.7 + -3.4 = -8.1I’m giving you an Integer Rule Cheat Sheet that I use. Hopefully it can help you with Math problems like this!...

Isaac wants the equation below to have no solution

allieliquori

09.03.2022

ANSWER

$^{\boxed {}} = 4.$

EXPLANATION.

The given equation is

$\boxed {}(x + 2) + 2x = 2(x + 6) + 4x$

Let us expand the right hand side to obtain:

$\boxed {}(x + 2) + 2x = 2x + 12+ 4x$

We group similar terms and keep the expression with the box on the left.

$\boxed {}(x + 2) = 2x - 2x+ 12+ 4x$

Simplify

$\boxed {}(x + 2) = 4x + 12$

We can see that the value of box the will be the equation to have no solution is 4.

Let us substitute 4 for box.

4(x + 2) = 4x + 12

4x + 8 = 4x + 12

4x - 4x = 12 - 8

0 = 4

This is not true. Hence the equation has no solution when

$\boxed {} = 4$

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