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

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