Question

Solve the equation
6(x+4)= 5(x-5)+x
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice,
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers,
O C. There is no solution,
(Answer quickly)

Answer 1

C. There is no solution.

6(x＋4)＝5(x－5)＋x
6x＋24＝5x－25＋x
6x＋24＝6x－25
24＝－25
The statement is false for any value of x
∴ There is no solution.

Hope my answer helped u :)

Answer 2

Answer:

➣ C. There is no solution

Step-by-step explanation:

$6\left(x+4\right)=5\left(x-5\right)+x$

Apply distributive law:-

$=6x+6\cdot \:4$

➠ Now, Multiply:- 6 × 4= 24

$6x+24$

$5\left(x-5\right)+x$

$=5x-25$

$=5x-25+x$

➠ Group like terms:-

$=6x-25$

Now, we have...

$6x+24=6x-25$

➠ Subtract 24 from both sides:-

$6x+24-24=6x-25-24$

$6x=6x-49$

➠ Now, Subtract 6x from both sides:-

$6x-6x=6x-49-6x$

$0=-49$

Here, the sides are not equal so there is no Solution

OAmalOHopeO

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