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In Mathematics / High School | 2014-04-10

If \(7 + 3x = 22\), then \(2x =\) ?

Asked by Zingaro590

Answer (3)

7 + 3 x = 22 / − 7 3 x = 15 / : 3 x = 5 2 x = 2 ⋅ 5 = 10

Answered by Anonymous | 2024-06-10

Hey there!
7 + 3x = 22
3x + 7 = 22
SUBTRACT 7 to BOTH SIDES
3x + 7 - 7 = 22 - 7
CANCEL out3 7 - 7 because it give you 0
KEEP: 22 - 7 because it help solve for the x-value
NEW EQUATION: 3x = 22 - 7 SIMPLIFY IT! 3x = 15
DIVIDE 3 to BOTH SIDES
3x/3 = 15/3
CANCEL out3 3/3 because it give you 1
KEEP: 15/3 because it help solve for the x-value
NEW EQUATION: x = 15/3
SIMPLIFY IT! x = 5
Therefore, the answer: x = 5
Now that we know what your x-value is.. we can substitute it in your next equation
2x
= 2(5)
= 2 + 2 + 2 + 2 + 2
= 4 + 4 + 2
= 8 + 2
= 10
5 = 5
x = 5 ☑️
Therefore, your overall answer is: x = 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)

Answered by Amphitrite1040 | 2024-06-24

To solve the equation 7 + 3 x = 22 , we isolate x and find that x = 5 . Therefore, when we calculate 2 x , we get 2 x = 10 .
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Answered by Amphitrite1040 | 2024-11-19