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posledela
3 years ago
11

What is X when 0=-5/4(X-6/5)

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

x = 6/5

Step-by-step explanation:

Solve for x:

0 = (-5 (x - 6/5))/4

Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:

0 = (-5)/4 (5 x)/5 - 6/5

(5 x)/5 - 6/5 = (5 x - 6)/5:

0 = (-5)/4 (5 x - 6)/5

(-5)/5 = (5 (-1))/5 = -1:

0 = (-1 (5 x - 6))/4

0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:

(-(5 x - 6))/4 = 0

Multiply both sides of (-(5 x - 6))/4 = 0 by -4:

(-4 (-(5 x - 6)))/4 = -4×0

(-4)/4 = (4 (-1))/4 = -1:

--1 (5 x - 6) = -4×0

(-1)^2 = 1:

5 x - 6 = -4×0

0 (-4) = 0:

5 x - 6 = 0

Add 6 to both sides:

5 x + (6 - 6) = 6

6 - 6 = 0:

5 x = 6

Divide both sides of 5 x = 6 by 5:

(5 x)/5 = 6/5

5/5 = 1:

Answer:  x = 6/5

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