Question 4 (1 point)

Question

What is the solution to 0.2(15x - 20) = 0.5(16 - 2x)?
Question 4 options:

3

-5

-3

View hint for Question 4

Answer 1

To solve the equation \( 0.2(15x - 20) = 0.5(16 - 2x) \), we will first distribute the constants on both sides.

1. Distributing on the left side: \[ 0.2(15x) - 0.2(20) = 3x - 4 \]

2. Distributing on the right side: \[ 0.5(16) - 0.5(2x) = 8 - x \]

Now we rewrite the equation: \[ 3x - 4 = 8 - x \]

Next, we will add \( x \) to both sides: \[ 3x + x - 4 = 8 \] \[ 4x - 4 = 8 \]

Now, we will add \( 4 \) to both sides: \[ 4x = 12 \]

Dividing both sides by \( 4 \): \[ x = 3 \]

So, the solution is \( \boxed{3} \).