Question

2|4w-1|=3|4w+2| Solve for W, but it’s absolute value so 2 and 3 cannot be distributed

Answer 1

w = -2, (-1/5)

Explanation:

2|4w - 1| = 3|4w + 2|

8w - 2 = 12w + 6

-12w -12w

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-4w - 2 = 6

+2 +2

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-4w = 8

÷-4 ÷-4

w = -2

2|4(-2) - 1| = 3|4(-2) + 2|

2|-8 - 1| = 3|-8 + 2|

2|-9| = 3|-6|

18 = 18

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2|4w - 1| = -(3|4w + 2|)

2|4w - 1| = -3|4w + 2|

8w - 2 = -12w - 6

+12w +12w

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20w - 2 = -6

+2 +2

20w = -4

÷20 ÷20

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w =(-1/5)

2|4(-1/5) - 1| = 3|4(-1/5) + 2|

2|(-4/5) - 1| = 3|(-4/5) + 2|

2|(-9/5)| = 3|(6/5)|

3.6 = 3.6

I hope this helps!