Simplify the expression $3(4x-5)+2$.

AlgebraAlgebraic simplificationLinear expressionsDistributionCombining like terms
2025/3/21

1. Problem Description

Simplify the expression 3(4x5)+23(4x-5)+2.

2. Solution Steps

First, we distribute the 3 to the terms inside the parenthesis.
3(4x5)=34x35=12x153(4x-5) = 3 * 4x - 3 * 5 = 12x - 15.
Therefore, the expression becomes:
3(4x5)+2=12x15+23(4x-5)+2 = 12x - 15 + 2.
Next, we combine the constant terms -15 and

2. $-15 + 2 = -13$.

Thus, the simplified expression is 12x1312x - 13.

3. Final Answer

12x1312x - 13

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