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. Solve the following equations. a) 2x + 8 = x + 25 + 8 b) 3x + 23 = 2x + 59 c) 5 + 12 = 17 d) 2x - 4 = x + 9 e) 5x - 10 = 4x - 12

1 Answer

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Hi there!

a)

2x + 8 = x + 25 + 8
Collect terms


2x + 8 = x + 33
Subtract x


x + 8 = 33
Subtract 8


x = 25


b)

3x + 23 = 2x + 59
Subtract 2x


x + 23 = 59
Subtract 23


x = 26


c)

5 + 12 = 17
This is not an equation, but the sum of 5 and 12 is 17, so it's true.


d)

2x - 4 = x + 9
Subtract x


x - 4 = 9
Add 4.


x = 13


e)

5x - 10 = 4x - 12
Subtract 4x


x - 10 = - 12
Add 10


x = - 2
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