To find the value of x in the equation 800 - (90×x + 17) = 423, you need to follow the arithmetic operations and isolate the variable x. Here's the step-by-step solution:
First, write down the original equation:
800 - (90×x + 17) = 423
Now, simplify the equation by distributing the subtraction through the parentheses:
800 - 90×x - 17 = 423
Combine like terms by subtracting 800 and 17 on the left side:
783 - 90×x = 423
Next, subtract 783 from both sides to isolate the term with the variable:
783 - 90×x - 783 = 423 - 783
-90×x = -360
Now, to solve for x, you'll need to divide both sides of the equation by -90:
x = -360 / -90
Simplifying this gives you:
x = 4
So the solution to the equation is x = 4.
