the quantity two minus x divided by three plus 30 equals 24

Answer 1

To solve the equation, we will follow the order of operations (PEMDAS).

Given equation: (2 - x) / 3 + 30 = 24

Step 1: Simplify the expression within parentheses.
2 - x

Step 2: Divide 2 - x by 3.
(2 - x) / 3

Step 3: Add the result of the division to 30.
(2 - x) / 3 + 30

Step 4: Set the sum equal to 24.
(2 - x) / 3 + 30 = 24

Step 5: Subtract 30 from both sides to isolate the term with x.
(2 - x) / 3 = 24 - 30
(2 - x) / 3 = -6

Step 6: Multiply both sides by 3 to get rid of the denominator.
3 * (2 - x) / 3 = -6 * 3
2 - x = -18

Step 7: Subtract 2 from both sides to solve for x.
2 - x - 2 = -18 - 2
-x = -20

Step 8: Multiply both sides by -1 to obtain the value of x.
-x * -1 = -20 * -1
x = 20

Therefore, the value of x that satisfies the equation is x = 20.