QuestionSimplify the expression: -5(2 x-4) + 11 x - 10 = ?

Studdy Solution

STEP 1

Assumptions1. We are given the expression $-5( x-4)+11 x-10$ . We need to simplify this expression by removing parentheses and combining like terms.

STEP 2

First, we distribute the -5 across the terms inside the parentheses.
$-5(2 x-4) = -5 \cdot2x + -5 \cdot -4$

STEP 3

Perform the multiplication operations.
$-5 \cdot2x + -5 \cdot - = -10x +20$

STEP 4

Now, we substitute this result back into the original expression, replacing $-(2 x-4)$ with $-10x +20$ .
So, the expression becomes $-10x +20 +11x -10$

STEP 5

Next, we combine like terms. The like terms in this expression are the terms with x and the constant terms.
$-10x +11x +20 -10$

STEP 6

Perform the addition and subtraction operations.
$-10x +11x =1x$ $20 -10 =10$

STEP 7

Finally, we write the simplified expression.
$1x +10$ However, it's common to drop the1 in front of the x, so we can simplify further to $x +10$ So, the simplified expression is $x +10$ .

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