Simplify the expression and find its value at x = 2 1.8x-4 (0.5x-0.1)

As the first step in the solution, we simplify the expression 1.8x – 4 (0.5x – 0.1). To do this, we will open parentheses and cast similar terms.

We open the parenthesis using two rules: the rule for opening parentheses before which there is a minus and the distributive law of multiplication with respect to subtraction a * (b – c) = a * b – a * c.

1.8x – 4 (0.5x – 0.1) = 1.8x – (4 * 0.5x – 4 * 0.1) = 1.8x – (2x – 0.4) = 1.8x – 2x + 0.4 = -0.2x + 0.4.

Find the value of the expression at x = 2.

-0.2x + 0.4 = -0.2 * 2 + 0.4 = -0.4 + 0.4 = 0.

Answer: 0.