Question

7(x -2) + 3(x + 2) = 5(x - 6) medal

Answer 1

Same concept start by distributing
\[\huge~\rm~\bf{7}(x -2) + 3(x + 2) = 5(x - 6) \]
\[\huge~\rm~7(x-2)\]
\[\huge~\rm~7\times x=?\]

Answer 2

Or you can do it all at once
\[~\rm~(7)(x)+(7)(−2)+(3)(x)+(3)(2)=(5)(x)+(5)(−6)\]

Answer 3

@Azionne are you there??

Answer 4

yea

Answer 5

.-. can you tell me what equation we would get after distributing?

Answer 6

7x-14-3x+6=5x-36

Answer 7

\[\huge~\rm~7x-14+3x+6=5x-30\]
Good now combine like terms
\[\huge~\rm~\bf~(7x+3x)+(−14+6)\]

Answer 8

21x-8

Answer 9

\[\huge~\rm~10x−8=5x−30\]
Now to isolate x our next step is to subtract 5x from both sides
\[\huge~\rm~10x-5x−8=5x-5x−30\]
10-5=?

Answer 10

5

Answer 11

5-5= ?

Answer 12

0

Answer 13

Good so now we have
\[\huge~\rm~5x−8=−30\]
Now we need to add 8 to both sides
\[\huge~\rm~5x−8+8=−30+8\]
\[\huge~\rm~\bf-30+8=?\]

Answer 14

-22

Answer 15

Good
-8+8=0 <---cancelled out
\[\huge~\rm~5x=−22\]
Next to isolate x we need to divide both sides by 5x
\[\huge~\rm~5x/5=−22/5\]
What is our final answer?

Answer 16

5/5=?

Answer 17

1

Answer 18

Good so you get just x
-22/5 cannot be simplified further therefore it remains the same
Final answer- x=-22/5

Answer 19

good job