Question: Solve for x: 2 over 3 (x − 2) = 4x.
A. negative 2 over 5
B. negative 5 over 2
C. 2 over 5
D. 5

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

Answer: A. negative 2 over 5

An equation is like a weighing balance with equal weights on both sides. If we add or subtract the same number from both sides of an equation, it still holds.

Explanation:

The equation 2 over 3 (x − 2) = 4x can be written as: (2 / 3) (x − 2) = 4x

(2 / 3) (x − 2) = 4x

2 (x - 2) / 3 = 4x

2 (x - 2) = 12x

2x - 4 = 12x

2x - 12x = 4

-10x = 4

x = 4 / (-10)

x = - 2/5

Therefore, the correct option is, A. negative 2 over 5