Questions: 2(4-3x)-(-3)+2x

2(4-3x)-(-3)+2x
Transcript text: $2(4-3x)-(-3)+2x$
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Solution

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Solution Steps

To simplify the expression, we will first distribute the multiplication over the terms inside the parentheses. Then, we will combine like terms to get the simplest form of the expression.

Step 1: Distribute and Simplify

We start with the expression \( 2(4 - 3x) - (-3) + 2x \). First, we distribute the \( 2 \) across the terms in the parentheses: \[ 2 \cdot 4 - 2 \cdot 3x = 8 - 6x \] Now, we rewrite the expression: \[ 8 - 6x + 3 + 2x \]

Step 2: Combine Like Terms

Next, we combine the constant terms and the terms involving \( x \): \[ (8 + 3) + (-6x + 2x) = 11 - 4x \]

Final Answer

The simplified expression is \[ \boxed{11 - 4x} \]

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