Mathematics: What is the solution to -8(x + 3) = 16 - (x + 5) show all work

What is the solution to -8(x + 3) = 16 - (x + 5) show

Ответ:

doggo242

02.01.2022

x = -5

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : -8 * (x+3) - (16-(x+5)) = 0

(0 - 8 * (x + 3)) - (11 - x) = 0

Pull out like factors :

-7x - 35 = -7 * (x + 5)

-7 * (x + 5) = 0

-7 = 0

This equation has no solution.

A a non-zero constant never equals zero.

x+5 = 0

Subtract 5 from both sides of the equation :

x = -5

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Ответ:

svarner2001

02.10.2020

Mathematics

$\bf sin(-\theta)\iff -sin(\theta)\qquad \qquad tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\\\\
-----------------------------\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\implies cos(\theta)=\cfrac{sin(\theta)}{tan(\theta)}\quad 
\begin{cases}
sin(-\theta)=\cfrac{1}{5}\\\\
-sin(\theta)=\cfrac{1}{5}\\\\
sin(\theta)=-\cfrac{1}{5}\\
--------\\
tan(\theta)=\cfrac{\sqrt{6}}{12}
\end{cases}
\\\\\\
thus\qquad cos(\theta)=\cfrac{-\frac{1}{5}}{\frac{\sqrt{6}}{12}}$

simplify away

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What is the solution to -8(x + 3) = 16 - (x + 5)
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