Olga tried to solve an equation step by step.

\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&am p;=6 \dfrac13k+9&=24&\green{\tex t{Step } 1} \dfrac13k&=15&\blue{\text{S tep } 2} k&=5&\purple{\text{Step } 3} \end{aligned}

4

1



(

3

1



k+9)

3

1



k+9

3

1



k

k



=6

=24

=15

=5



Step 1

Step 2

Step 3



Find Olga's mistake.

step-by-step explanation:

452,489 to the nearest thousand is 452,000

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.