Question

6. Solve for x: 3|x - 7| = 15

Please give steps! ❤️

Answer 1

3 | x - 7 | = 15

Divide both sides by 3

3 | x - 7 | ÷ 3 = 15 ÷ 3

| x - 7 | = 5

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" Reminder "

| a | = t ===》 a = + t OR a = - t

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| x - 7 | = 5

x - 7 = 5 ====》 x = 12

OR

x - 7 = - 5 ===》 x = 2

Answer 2

Step by step:
3|x-7| = 15

Start by multiplying everything inside of the parentheses by 3 since that’s what’s next to it giving you

3x -21 = 15

Then you must combine like terms so you move the -21 over to the other side leaving you with

3x=36

Then you must divide 3 by both sides since that’s what’s next to the x leaving you with

X=12 as your final answer