The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14
The equation is given as:
(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3
Rewrite as a product
(43/7 ÷ x + 32/9) x 6/25 = 4/3
Multiply both sides of the equation by 25/6
(43/7 ÷ x + 32/9)= 4/3 x 25/6
Evaluate the product
(43/7 ÷ x + 32/9)= 50/9
Rewrite the equation as:
43/7x + 32/9= 50/9
Subtract 32/9 from both sides
43/7x = 2
Multiply both sides by 7x
14x = 43
Divide by 14
x =43/14
Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14
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