800-(90×x+17)=423

To solve the equation for x, we need to isolate x by following the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The given equation is:

800 - (90×x + 17) = 423

Let's simplify step by step:

1. Move all terms not containing x to the other side of the equation by adding (90×x + 17) to both sides to eliminate the parentheses:

800 = 423 + (90×x + 17)

2. Combine like terms on the right side:

800 = 423 + 90×x + 17

800 = 90×x + 440

3. Subtract 440 from both sides to isolate the term with x:

800 - 440 = 90×x

360 = 90×x

4. Now, divide both sides by 90 to solve for x:

360 / 90 = x

x = 4

So the solution to the equation 800 - (90×x + 17) = 423 is x = 4.