(470-х) :3+65=172

To solve this equation, we will follow the order of operations (PEMDAS/BODMAS):

1. First, we will solve the parentheses: (470-х) = 470-x.

2. Next, we have to multiply the result by 3: 3 * (470-x) = 1410-3x.

3. Then, we add 65 to the result: 1410-3x + 65 = 1475-3x.

Therefore, the equation becomes: 1475 - 3x = 172.

To isolate the variable 'x,' we will move the constants to the right side:

1475 - 3x - 1475 = 172 - 1475. -3x = -1303.

To solve for 'x,' divide both sides by -3:

(-3x)/-3 = -1303/-3. x = 434.33 (rounded to two decimal places).

Thus, the solution to the equation is x = 434.33.