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Simplify. \( 4(x+3)+2(x+1)=\square \)

Ask by May Hardy. in the United States
Feb 21,2025

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\(6x + 14\)

Solución

Calculate or simplify the expression \( 4(x+3)+2(x+1) \). Simplify the expression by following steps: - step0: Solution: \(4\left(x+3\right)+2\left(x+1\right)\) - step1: Expand the expression: \(4x+12+2\left(x+1\right)\) - step2: Expand the expression: \(4x+12+2x+2\) - step3: Add the terms: \(6x+14\) The simplified expression is \(6x+14\).

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To simplify the expression \( 4(x+3) + 2(x+1) \), first, distribute the numbers outside the parentheses: 1. \( 4(x) + 4(3) + 2(x) + 2(1) \) 2. This gives \( 4x + 12 + 2x + 2 \). Next, combine like terms: 1. Combine the \( x \) terms: \( 4x + 2x = 6x \). 2. Combine the constant terms: \( 12 + 2 = 14 \). Therefore, the simplified expression is \( \boxed{6x + 14} \).

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