How do you solve $7 w - 5 = 36$ $7w-5=36$ ?

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Answer 1 · 2016-12-26T15:32:46

$w = \frac{41}{7}$ $w = 41/7$

Step 1) Add $5$ $color(red)(5)$ to each side of the equation to isolate the $w$ $w$ term and keep the equation balanced:

$7 w - 5 + 5 = 36 + 5$ $7w - 5 + color(red)(5) = 36 + color(red)(5)$

$7 w - 0 = 41$ $7w - 0 = 41$

$7 w = 41$ $7w = 41$

Step 2) Now we can divide each side of the equation by $7$ $color(blue)(7)$ to solve for $w$ $w$ while keeping the equation balanced:

$\frac{7 w}{7} = \frac{41}{7}$ $(7w)/color(blue)(7) = 41/color(blue)(7)$

$(color(blue)(cancel(color(black)(7)))w)/cancel(color(blue)(7)) = 41/color(blue)(7)$

$w = 41/7$

How do you solve 7w-5=367w−5=367w-5=36?