To simplify this equation, we will first distribute the 5 on the right side:
(5)(3x-7) = 15x - 35
Now we can rewrite the equation with the simplified right side:
(5x + 4)/3 - 2 = 15x - 35
Next, we can eliminate the fraction by multiplying all terms by 3:
3[(5x + 4)/3 - 2] = 3(15x - 35)
This simplifies to:
5x + 4 - 6 = 45x - 105
Combining like terms, we get:
5x - 2 = 45x - 105
Subtracting 5x from both sides:
-2 = 40x - 105
Adding 105 to both sides:
103 = 40x
Dividing by 40:
x = 103/40
Therefore, the solution is x = 103/40.
To simplify this equation, we will first distribute the 5 on the right side:
(5)(3x-7) = 15x - 35
Now we can rewrite the equation with the simplified right side:
(5x + 4)/3 - 2 = 15x - 35
Next, we can eliminate the fraction by multiplying all terms by 3:
3[(5x + 4)/3 - 2] = 3(15x - 35)
This simplifies to:
5x + 4 - 6 = 45x - 105
Combining like terms, we get:
5x - 2 = 45x - 105
Subtracting 5x from both sides:
-2 = 40x - 105
Adding 105 to both sides:
103 = 40x
Dividing by 40:
x = 103/40
Therefore, the solution is x = 103/40.