# How do you write 4x+24=0  in standard form?

May 12, 2017

See a solution process below:

#### Explanation:

The standard form of a linear equation is: $\textcolor{red}{A} x + \textcolor{b l u e}{B} y = \textcolor{g r e e n}{C}$

Where, if at all possible, $\textcolor{red}{A}$, $\textcolor{b l u e}{B}$, and $\textcolor{g r e e n}{C}$are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

Therefore, we need to have the constant on the right side of the equation so we can subtract $\textcolor{red}{24}$ from each side of the equation to achieve this while keeping the equation balanced:

$4 x + 24 - \textcolor{red}{24} = 0 - \textcolor{red}{24}$

$4 x + 0 = - 24$

$4 x = - 24$

We can next divide each side of the equation by $\textcolor{red}{4}$ to eliminate the common factors while keeping the equation balanced:

$\frac{4 x}{\textcolor{red}{4}} = - \frac{24}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} x}{\cancel{\textcolor{red}{4}}} = - 6$

$x = - 6$

Because there is no $y$ term this indicates it's coefficient is $0$.

We can now write the Standard Form of this linear equation as:

$\textcolor{red}{1} x + \textcolor{b l u e}{0} y = \textcolor{g r e e n}{- 6}$