Final answer:
To solve for x in the equation 2,000 ÷ x = 14 r 40, divide 0.40 into both sides and multiply both sides by x. Simplify to find x.
Step-by-step explanation:
To solve for x, we have to do some algebraic rearrangement: divide the 0.40 into both sides of the equation and multiply both sides of the equation by x. This brings x into the numerator of the left side and the 0.40 into the denominator of the right side:
2,000 ÷ x = 14 r 40
2,000 ÷ x = 14 + 40/100
Multiplying both sides by x and simplifying:
x = 2,000 ÷ (14 + 40/100)
x = 2,000 ÷ (14.4)
x = 138.89