Questions: Evaluate the expression -0.4(3x-2)+(2x+4)/3 for x=4

Transcript text: Evaluate the expression $-0.4(3 x-2)+\frac{2 x+4}{3}$ for $x=4$

Solution

To evaluate the expression for $ x = 4 $, substitute $ x $ with 4 in the expression and perform the arithmetic operations.

Step 1: Substitute $ x = 4 $ into the Expression

Substitute $ x = 4 $ into the expression $-0.4(3x - 2) + \frac{2x + 4}{3}$.

Step 2: Simplify the Expression

Calculate $ 3x - 2 $ when $ x = 4 $: \[ 3(4) - 2 = 12 - 2 = 10 \]
Calculate $-0.4 \times 10$: \[ -0.4 \times 10 = -4 \]
Calculate $ \frac{2x + 4}{3} $ when $ x = 4 $: \[ \frac{2(4) + 4}{3} = \frac{8 + 4}{3} = \frac{12}{3} = 4 \]

Step 3: Combine the Results

Combine the results from the previous calculations: \[ -4 + 4 = 0 \]

\[ \boxed{0} \]

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