Question

`((z)/(4) +30) + ((z)/(2) ) = 180` show work, please

Answer 1

x = 200

Explanation:

Multiply by 4:

x + 120 + 2x = 720

3x = 600 . . . . . . collect terms, subtract 120

x = 200 . . . . . . . divide by 3

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Check

(200/4 +30) +(200/2) = 180

(50 +30) + 100 = 180

80 + 100 = 180 . . . . . true

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Alternate solution

If you like, you can simply work with the equation given.

(3/4)x + 30 = 180 . . . . collect terms

(3/4)x = 150 . . . . . . . . . subtract 30

x = 200 . . . . . . . . . . . . multiply by 4/3