Question

2)
a) what value of x will make the expression $6(x + 4) - 3(x - 2)$ equal to 30 ?
b) -30 ?

Explanation:

Part (a)

Step 1: Expand the expression

First, we expand \(6(x + 4)-3(x - 2)\) using the distributive property (\(a(b + c)=ab+ac\)).

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Step 2: Combine like terms

Combine the \(x\)-terms and the constant terms.

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Step 3: Set the equation and solve for \(x\)

We want \(3x + 30=30\). Subtract 30 from both sides:

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Divide both sides by 3:

$$ x = 0 $$

Part (b)

Step 1: Use the simplified expression

From part (a), we know the expression simplifies to \(3x + 30\). We want \(3x+30=-30\).

Step 2: Solve for \(x\)

Subtract 30 from both sides:

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Divide both sides by 3:

$$ x=-20 $$

Answer:

a) \(x = 0\)

b) \(x=-20\)