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Zane Mccormick
Mathematics
1 October, 21:37
3 (3-3x) = 2 (x+3) - 30 solve and check solution
+3
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Brynlee Black
1 October, 21:41
0
x = 3
Step-by-step explanation:
Solve:
3 (3 - 3x) = 2 (x + 3) - 30 Remove parentheses
9 - 9x = 2x + 6 - 30 Combine like terms
9 - 9x = 2x - 24 Add 24 to each side
33 - 9x = 2x Add 9x to each side
33 = 11x Divide each side by 11
x = 3
Check:
3 (3 - 3x) = 2 (x + 3) - 30
3 (3 - 3*3) = 2 (3 + 3) - 30
3 (3 - 9) = 2*6 - 30
3 (-6) = 12 - 30
-18 = - 18
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Jovany Ward
1 October, 21:46
0
x = 3
Step-by-step explanation:
Solve for x:
3 (3 - 3 x) = 2 (x + 3) - 30
2 (x + 3) = 2 x + 6:
3 (3 - 3 x) = 2 x + 6 - 30
Grouping like terms, 2 x - 30 + 6 = 2 x + (6 - 30):
3 (3 - 3 x) = 2 x + (6 - 30)
6 - 30 = - 24:
3 (3 - 3 x) = 2 x + - 24
Expand out terms of the left hand side:
9 - 9 x = 2 x - 24
Subtract 2 x from both sides:
9 + (-9 x - 2 x) = (2 x - 2 x) - 24
-9 x - 2 x = - 11 x:
-11 x + 9 = (2 x - 2 x) - 24
2 x - 2 x = 0:
9 - 11 x = - 24
Subtract 9 from both sides:
(9 - 9) - 11 x = - 9 - 24
9 - 9 = 0:
-11 x = - 9 - 24
-9 - 24 = - 33:
-11 x = - 33
Divide both sides of - 11 x = - 33 by - 11:
(-11 x) / (-11) = (-33) / (-11)
(-11) / (-11) = 1:
x = (-33) / (-11)
The gcd of - 33 and - 11 is - 11, so (-33) / (-11) = (-11*3) / (-11*1) = (-11) / (-11) * 3 = 3:
Answer: x = 3
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