How do you solve $-4w=3w-7$ ?

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Answer 1 · 2017-02-15T13:36:36

See the entire solution process below:

Step 1) Subtract $color(red)(3w)$ from each side of the equation to isolate the $w$ term while keeping the equation balanced:

$-4w - color(red)(3w) = 3w - 7 - color(red)(3w)$

$(-4 - 3)w = 3w - color(red)(3w) - 7$

$-7w = 0 - 7$

$-7w = -7$

Step 2) Divide each side of the equation by $color(red)(-7)$ to solve for $w$ while keeping the equation balanced:

$(-7w)/color(red)(-7) = -7/color(red)(-7)$

$(color(red)(cancel(color(black)(-7)))w)/cancel(color(red)(-7)) = 1$

$w = 1$

How do you solve -4w=3w-7-4w=3w-7?