How do you solve the equation $5-8z=25+4z$ ?

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Answer 1 · 2017-02-07T13:41:57

See the entire solution process below:

First, subtract $color(red)(5)$ and $color(blue)(4z)$ from each side of the equation to isolate the $z$ terms while keeping the equation balanced:

$5 - 8z - color(red)(5) - color(blue)(4z) = 25 + 4z - color(red)(5) - color(blue)(4z)$

$5 - color(red)(5) - 8z - color(blue)(4z) = 25 - color(red)(5) + 4z - color(blue)(4z)$

$0 - 12z = 20 + 0$

$-12z = 20$

Now, divide each side of the equation by $color(red)(-12)$ to solve for $z$ while keeping the equation balanced:

$(-12z)/color(red)(-12) = 20/color(red)(-12)$

$(color(red)(cancel(color(black)(-12)))z)/cancel(color(red)(-12)) = (4 xx 5)/color(red)(4 xx -3)$

$z = (color(red)(cancel(color(black)(4))) xx 5)/color(red)(cancel(4) xx -3)$

$z = 5/-3$

$z = -5/3$

How do you solve the equation 5-8z=25+4z5-8z=25+4z?