Question

extra practice problems

1. (-5x - 8 + 12 = 34)
2. (-14 = 6x - 4 - 7x)
3. (7x - 3(x - 4) = 8)
4. (4(x - 2) + 2x = 40)
5. (6(x - 1) + 11 = 53)
6. (17 = x - 3(x + 1))

summary
when solving multi-step equations, first combine like terms on each side if possible.
then use inverse operations.
table: (4x - 3 = 15) (operations: (x) is multiplied by 4, then 3 is subtracted; solve using inverse operations: add 3 to both sides, then divide both sides by 4), (\frac{x}{3} + 2 = 9) (operations: (x) is divided by 3, then 2 is added; solve using inverse operations: add (-2) to both sides, then multiply both sides by 3)
the order of the inverse operations is the order of operations in reverse.

exit ticket
solve for (x) and circle your answer.
(-2(x - 8) = 20)
(a) -2
(b) -10
(c) -18
(d) 18

Explanation:

Step1: Divide both sides by -2

To isolate the term with \( x \), we divide both sides of the equation \(-2(x - 8)=20\) by \(-2\).
\[
\frac{-2(x - 8)}{-2}=\frac{20}{-2}
\]
Simplifying both sides, we get \( x - 8=-10 \).

Step2: Add 8 to both sides

To solve for \( x \), we add 8 to both sides of the equation \( x - 8=-10 \).
\[
x - 8 + 8=-10 + 8
\]
Simplifying both sides, we find \( x=-2 \).

Answer:

(a) -2