Questions: Evaluate 5(2x+1)-3(3x+2) for x=-3.

Transcript text: 8. Evaluate $5(2 x+1)-3(3 x+2)$ for $x=-3$.

Solution

Solution Steps

To evaluate the expression $5(2x + 1) - 3(3x + 2)$ for $x = -3$, we will:

Substitute $x = -3$ into the expression.
Simplify the expression by performing the arithmetic operations.

Step 1: Substitute $ x = -3 $

We start by substituting $ x = -3 $ into the expression $ 5(2x + 1) - 3(3x + 2) $: \[ 5(2(-3) + 1) - 3(3(-3) + 2) \]

Step 2: Simplify Inside the Parentheses

Next, we simplify the expressions inside the parentheses: \[ 2(-3) + 1 = -6 + 1 = -5 \] \[ 3(-3) + 2 = -9 + 2 = -7 \] Thus, the expression becomes: \[ 5(-5) - 3(-7) \]

Step 3: Perform the Multiplications

Now we perform the multiplications: \[ 5(-5) = -25 \] \[ -3(-7) = 21 \] So, we have: \[ -25 + 21 \]

Step 4: Final Calculation

Finally, we calculate: \[ -25 + 21 = -4 \]

Final Answer

The value of the expression is $\boxed{-4}$.

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