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grin007 [14]
3 years ago
9

Solve for x. 2/3(x−7)=−2

Mathematics
2 answers:
zaharov [31]3 years ago
5 0
2/3x - 14/3 = -2
3(2/3x - 14/3) = -2(3)
           2x - 14 = -6
                   2x = -6 + 14
                   2x = 8
                     x = 8/2
                     x= 4

hope this helps :)



JulsSmile [24]3 years ago
4 0
2/3(x-7)=-2
2/3(x-7+7)=-2+7
2/3(x)=5
6x=5
6 6
x=1.2
I'm not sure
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8 0
2 years ago
Read 2 more answers
Solve for the unknown variable 2/5(3x-4)=-4
Elanso [62]

Answer:

x = -2

Step-by-step explanation:

Solve for x:

(2 (3 x - 4))/5 = -4

Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:

(5×2 (3 x - 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x - 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x - 4))/(2×5) = (-4×5)/2

(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:

3 x - 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x - 4 = 5×-2

5 (-2) = -10:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer:  x = -2

6 0
3 years ago
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