QuestionSimplify: $10(2x - 1) - (6x - 5)$

Studdy Solution

STEP 1

Assumptions1. The given expression is $10(x-1)-(6x-5)$ . We need to simplify this expression3. We will use the distributive property of multiplication over addition (or subtraction) to simplify the expression

STEP 2

First, distribute the $10$ to both terms in the first parenthesis.
$10(2x-1) =102x -101$

STEP 3

implify the multiplication.
$10(2x-1) =20x -10$

STEP 4

Next, distribute the negative sign to both terms in the second parenthesis.
$(6x-) = -6x +$

STEP 5

Now, substitute these simplified expressions back into the original expression.
$10(2x-1)-(x-5) =20x -10 -x +5$

STEP 6

Combine like terms.
$20x -10 -6x +5 =14x -5$ The simplified expression is $14x -5$ .

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