How do you solve $5 w - 75 = 2 w$ $5w - 75= 2w$ ?

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How do you solve $5 w - 75 = 2 w$ $5w - 75= 2w$ ?

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Answer 1 · 2018-04-02T13:45:24

w = 25

Explanation:

Rearrange the formula to have all w's on one side of the equation and all other numbers on the other:
$5 w - 75 = 2 w$ $5w - 75 = 2w$
$5 w (- 2 w) - 75 = 2 w (- 2 w)$ $5w (- 2w) -75 = 2w (- 2w)$
$3 w - 75 = 0$ $3w - 75 = 0$
$3 w - 75 (+ 75) = 0 (+ 75)$ $3w - 75 (+ 75) = 0 (+ 75)$
$3 w = 75$ $3w = 75$

now divide everything by three
$\frac{3 w}{3} = \frac{75}{3}$ $(3w)/3 = 75/3$
$w = 25$ $w = 25$

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How do you solve $5 w - 75 = 2 w$ $5w - 75= 2w$ ?

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How do you solve $5 w - 75 = 2 w$ $5w - 75= 2w$ ?