Question

0.4(2x+0.3) = 1/3(6x-7.2) What does both x equal?

A. x = -2
B. x = 3
C. x = 1
D. x = 0

Answer 1

To solve the equation 0.4(2x+0.3) = 1/3(6x-7.2), distribute and simplify on both sides. Combine like terms and isolate x to solve for its value. The answer is x = 1.

Step-by-step explanation:

To solve the equation 0.4(2x+0.3) = 1/3(6x-7.2) for x, we need to distribute and simplify both sides of the equation. Firstly, we distribute on both sides, resulting in 0.8x + 0.12 = 2x - 2.4.

Then, we can combine like terms and isolate x by subtracting 0.8x from both sides and adding 2.4 to both sides.

This gives us x = 1.6. Therefore, the answer is C. x = 1.