Question

PLS HELP I WILL MEDAL AND FAN
Given the equation 7(x + 2) = 2x − 1, solve for the variable. Explain each step and justify your process.
B. Jeff solved a similar equation below. Is Jeff's solution correct? Explain why or why not.
3x − 2 = 5(x + 2)
3x − 2 = 5x + 10
8x = 8
x = 1

Answer 1

http://tex.z-dn.net/?f=A.%5C%5C7%28x%2B2%29%3D2x-1%5C+%5C+%5C+%7Cuse%5C+distributive%5C+property%5C+a%28b%2Bc%29%3Dab%2Bac%5C%5C%5C%5C7%28x%29%2B7%282%29%3D2x-1%5C%5C%5C%5C7x%2B14%3D2x-1%5C+%5C+%5C+%5C+%7Csubtract%5C+2x%5C+from%5C+both%5C+sides%5C%5C%5C%5C5x%2B14%3D-1%5C+%5C+%5C+%5C+%5C+%7Csubtract%5C+14%5C+from%5C+both%5C+

Answer 2

\[7(x+2) = 2x-1\]
\[=7x+14=2x-1\]
\[7x-2x +14 = 2x-2x -1\]
\[5x+14-14=-1-14\]
\[5x=-15\]
\[x=-3\]

Answer 3

Click this link for answer

http://tex.z-dn.net/?f=A.%5C%5C7%28x%2B2%29%3D2x-1%5C+%5C+%5C+%7Cuse%5C+distributive%5C+property%5C+a%28b%2Bc%29%3Dab%2Bac%5C%5C%5C%5C7%28x%29%2B7%282%29%3D2x-1%5C%5C%5C%5C7x%2B14%3D2x-1%5C+%5C+%5C+%5C+%7Csubtract%5C+2x%5C+from%5C+both%5C+sides%5C%5C%5C%5C5x%2B14%3D-1%5C+%5C+%5C+%5C+%5C+%7Csubtract%5C+14%5C+from%5C+both%5C+sides%5C%5C%5C%5C5x%3D-15%5C+%5C+%5C+%5C+%5C+%7Cdivide%5C+both%5C+sides%5C+by%5C+5%5C%5C%5C%5C%5Cboxed%7Bx%3D-3%7D

Answer 4

In other words

No the solution is not correct

3x-2=5(x+2)
3x-2=5x+10
3x-5x=10+2 <-- Should be like this
-2x=12/-2
x=-6

And:
7(x+2)=2x-1
7x+14=2x-1
7x-2x=-1-14
5x=-15/5
x=-3

Answer 5

B) Jeff's solution is not correct because when he moved(transposed) the 'x' to the other side, he didn't change the sign and when he moved the "2" to the other side he didn't change the sign either

Answer 6

Hope that helped:)

Answer 7

THANK YOU SO MUCH YOU GUYS BOTH DESERVE MEDALS!! (: