(470-х) :3+65=172

To solve the equation (470-х) : 3+65=172, we first need to simplify the expression on the left side of the equation.

First, divide (470-х) by 3: (470-х) : 3 = (470/3) - x/3

So the equation becomes: (470/3) - x/3 + 65 = 172

Next, simplify further by combining like terms: (470/3) + 65 - x/3 = 172

To isolate x, we need to get rid of the fractions. Multiply the entire equation by 3: 3*(470/3) + 365 - 3(x/3) = 3*172

After canceling out terms, the equation simplifies to: 470 + 195 - x = 516

Combine like terms again: 665 - x = 516

Next, subtract 665 from both sides of the equation: - x = 516 - 665

Simplifying further, we get: -x = -149

Finally, to solve for x, multiply both sides of the equation by -1: x = 149

Therefore, the solution to the equation (470-х) : 3 + 65 = 172 is x = 149.