QuestionSimplify the expression: $3x + 2(x - 5)$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $3x +(x-5)$ . We need to simplify this expression

STEP 2

The given expression is a sum of two terms, $x$ and $2(x-5)$ . The second term is a product of $2$ and the expression $(x-5)$ . We can simplify this expression by applying the distributive property of multiplication over addition, which states that $a(b+c) = ab + ac$ .
$x +2(x-5) =x +2x -10$

STEP 3

Now, we can simplify the expression by combining like terms. Like terms are terms that contain the same variables raised to the same power. In this case, $3x$ and $2x$ are like terms.
$3x +2x -10 =5x -10$ So, the simplified form of the expression $3x +2(x-5)$ is $5x -10$ .

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