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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