To solve this equation, we first simplify the left side of the equation by combining like terms:
3x - 1/5 + 6x + 1/3= 3x + 6x - 1/5 + 1/3= 9x - 1/5 + 1/3
Next, let's find a common denominator to combine the fractions:
= (3 3x - 3 1/5 + 5 1/3) / (5 3)= (9x - 3/5 + 5/3) / 15
Now we can combine the fractions:
= (9x - 9/15 + 25/15) / 15= (9x + 16/15) / 15= (9x + 16) / 15
The equation now becomes:
(9x + 16) / 15 = (3x - 1)^0
Since any number raised to the power of 0 is equal to 1, we have:
(9x + 16) / 15 = 1
Now, we can solve for x:
9x + 16 = 159x = -1x = -1/9
Therefore, the solution to the equation is x = -1/9.
To solve this equation, we first simplify the left side of the equation by combining like terms:
3x - 1/5 + 6x + 1/3
= 3x + 6x - 1/5 + 1/3
= 9x - 1/5 + 1/3
Next, let's find a common denominator to combine the fractions:
= (3 3x - 3 1/5 + 5 1/3) / (5 3)
= (9x - 3/5 + 5/3) / 15
Now we can combine the fractions:
= (9x - 9/15 + 25/15) / 15
= (9x + 16/15) / 15
= (9x + 16) / 15
The equation now becomes:
(9x + 16) / 15 = (3x - 1)^0
Since any number raised to the power of 0 is equal to 1, we have:
(9x + 16) / 15 = 1
Now, we can solve for x:
9x + 16 = 15
9x = -1
x = -1/9
Therefore, the solution to the equation is x = -1/9.