Question

Liza needs help to solve this linear equation.

4(x – 5) + 2x = 9x – 2(4 + 2x)

She has completed two steps, but now she’s stuck. Examine her work.

1. 4x - 20 + 2x = 9x - 8 - 4x

2. 6x - 20 = 5x - 8

What could be the next step?

Answer 1

-5 from each side
1x -20=-8
Then + 20 both sides
1x=12
Divide 1 on both sides x=12
Hope this helps

Answer 2

The solution of the equation is x = 12 . And the next step is subtract 5x from both sides or you can also say subtract 6x from both sides . The aim is bring x to one side of the equation.

Let's solve the equation

4(x – 5) + 2x = 9x – 2(4 + 2x)

open the bracket

4x - 20 + 2x = 9x - 8 - 4x

combine the like terms

4x + 2x - 20 = 9x - 4x - 8

6x - 20 = 5x - 8

subtract 5x from both sides

6x - 5x - 20 = 5x - 5x - 8

x - 20 = - 8

add 20 to both sides

x - 20 + 20 = -8 + 20

x = 12

The next step is subtract 5x from both sides.

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