Math Snap

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.
$$-10x +11x =1x$$$$20 -10 =10$$

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 $$x +10$$.