What is the solution to the equation 2(2 - j) = 4(j + 10) ?
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OpenStudy (alexandervonhumboldt2):
4-2j=4j+40
OpenStudy (alexandervonhumboldt2):
-6j=36
j=?????????????
jabez177 (jabez177):
1 is my answer I got, Am I correct ?
OpenStudy (alexandervonhumboldt2):
no -6
OpenStudy (alexandervonhumboldt2):
-6*-6=36
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OpenStudy (anonymous):
yes what @AlexandervonHumboldt2 has shown is correct! always work towards isolating the variable:)
jabez177 (jabez177):
Okay thank you I have one more
OpenStudy (anonymous):
YOU HAVE TO DISTUBE
OpenStudy (alexandervonhumboldt2):
hmm but i have a go sotty
OpenStudy (alexandervonhumboldt2):
@iheartfood can you help him i have to go
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jabez177 (jabez177):
The product of 3 and a number is 12 more than the sum of the number and 26.
What is the number
OpenStudy (anonymous):
3X+12=26
jabez177 (jabez177):
so 26 thnx
jabez177 (jabez177):
Wait I don't think it is 26 I really need the asnwer because i have to answer this and then leave to go to my dental appointment
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
To solve this problem, we must find where 3x - 12 = 26 + x
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
-12 + 3x + -1x = 26 + x + -1x
Combine like terms: 3x + -1x = 2x
-12 + 2x = 26 + x + -1x
Combine like terms: x + -1x = 0
-12 + 2x = 26 + 0
-12 + 2x = 26
Add '12' to each side of the equation.-12 + 12 + 2x = 26 + 12
Combine like terms: -12 + 12 = 0
0 + 2x = 26 + 12
2x = 26 + 12
Combine like terms: 26 + 12 = 38
2x = 38
Divide each side by '2'.
x = 19
Simplifying
x = 19
Check: 3*19 = 57 - 12 = 45
26 + 19 = 45
jabez177 (jabez177):
I got 4
OpenStudy (anonymous):
@jabez177
OpenStudy (anonymous):
this is the answer
jabez177 (jabez177):
Okay um thank you
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OpenStudy (anonymous):
sorry, i had to leave too but looks like you got help!