Question

1. |2x+5|=11

2. 3|x-4|+1=19

Please show all steps

Answer 1

1. x = 3

2. x = 10

Explanation:

`1. \: \: (2x + 5) = 11 \\ 2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x = (6)/(2) \\ x = 3 \\`

`2. \: \: \: 3(x - 4) + 1 = 19 \\ 3x - 12 + 1 = 19 \\ 3x - 11 = 19 \\ 3x = 19 + 11 \\ 3x = 30 \\ x = (30)/(3) \\ x = 10 \\`

Answer 2

1. x = 3 or x = -8

2. x = -2 or x = 10

Explanation:

1. |2x + 5| = 11

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

-5 -5 -5 -5

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2x = 6 2x = -16

/2 /2 /2 /2

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x = 3 x = -8

2. 3|x - 4| + 1 = 19

3|x - 4| + 1 = 19

-1 -1

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3|x - 4| = 18

/3 /3

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|x - 4| = 6

x - 4 = -6 Or x - 4 = 6

+4 +4 +4 +4

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x = -2 x = 10