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Lorena solved the equation 5k – 3(2k – ) – 9 = 0. Her steps are below.Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.

2x + 5 = –10 – x

3x + 5 = –10
3x = –15
x = –5
Use the drop-down menus to justify Marlena’s work in each step of the process.

Step 1:

Step 2:

Step 3:

User Kerruba
by
8.4k points

2 Answers

1 vote

Explanation:

Given equation,


\sf 2x + 5 = -10- x

Step 1 :


\sf 2x + 5 = -10 - x

In the first step, Move - x from the right side to the left side of the equation.

In right hand side the sign on x was negative, but on moving to the left the sign will change to positive.


\sf 2x + x + 5 = - 10

(Adding 2x and x)


\sf 3x + 5 = 10

Step 2:

Move +5 to the right side of the equation.

The sign on +5 will change to negative.


\sf 3x = -10 - 5

(Adding 10 and 5, because, - - = +)


\sf 3x = -15

Step 3 :

Divide 3 on both the sides,


\sf (3x)/(3) = (-15)/(3)


\sf x = -5

User Ceexon
by
9.2k points
3 votes

Answer:

see explanation

Explanation:

2x + 5 = - 10x - x

Step 1

add x to both sides

3x + 5 = - 10

Step 2

subtract 5 from both sides

3x = - 15

Step 3

divide both sides by 3

x = - 5

User Filippo Vicari
by
8.5k points