How do you solve $(-4h-(-5))/(-7)=13$ ?

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Answer 1 · 2017-10-05T02:44:23

See a solution process below:

First, rewrite the numerator of the fraction on the left side of the equation. Remember, minus a minus is a plus:

$(-4h + 5)/-7 = 13$

Next, multiply each side of the equation by $color(red)(-7)$ to eliminate the fraction while keeping the equation balanced:

$color(red)(-7) xx (-4h + 5)/-7 = color(red)(-7) xx 13$

$cancel(color(red)(-7)) xx (-4h + 5)/color(red)(cancel(color(black)(-7))) = -91$

$-4h + 5 = -91$

Then, subtract $color(red)(5)$ from each side of the equation to isolate the $h$ term while keeping the equation balanced:

$-4h + 5 - color(red)(5) = -91 - color(red)(5)$

$-4h + 0 = -96$

$-4h = -96$

Now, divide each side of the equation by $color(red)(-4)$ to solve for $h$ while keeping the equation balanced:

$(-4h)/color(red)(-4) = (-96)/color(red)(-4)$

$(color(red)(cancel(color(black)(-4)))h)/cancel(color(red)(-4)) = 24$

$h = 24$

How do you solve (-4h-(-5))/(-7)=13(-4h-(-5))/(-7)=13?