Questions: Simplifying Expressions Simplify the expressions completely. 5-(x+8) 5-2(4x+9) 8(x+5)+3x

Solution Steps

To simplify the given expressions, we will apply the distributive property and combine like terms. For each expression, distribute any coefficients and then combine any terms that are similar.

The first expression is \(5 - (x + 8)\). To simplify, distribute the negative sign across the terms inside the parentheses: \[ 5 - (x + 8) = 5 - x - 8 \] Combine like terms: \[ 5 - 8 - x = -x - 3 \]

The second expression is \(5 - 2(4x + 9)\). First, distribute the \(-2\) across the terms inside the parentheses: \[ 5 - 2(4x + 9) = 5 - 8x - 18 \] Combine like terms: \[ 5 - 18 - 8x = -8x - 13 \]

The third expression is \(8(x + 5) + 3x\). Distribute the \(8\) across the terms inside the parentheses: \[ 8(x + 5) + 3x = 8x + 40 + 3x \] Combine like terms: \[ 8x + 3x + 40 = 11x + 40 \]

Final Answer