To solve this, divide both sides by four.

\(\displaystyle \frac{4x}{4} = \frac{-44}{4}\)

The numerator of the fraction can be split into common factors.

\(\displaystyle \frac{-44}{4} = \frac{-11\times 4} {4}\)

Eliminate the \(\displaystyle 4\) in the numerator and denominator.

The answer is:  \(\displaystyle x=-11\)

Rewrite the equation.

\(\displaystyle \frac{x}{6}=-30\)

To isolate \(\displaystyle x\), multiply both sides by 6.

\(\displaystyle \frac{x}{6}\times 6=-30\times 6\)

The integer \(\displaystyle 6\) and the denominator are eliminated on the left side of the equation.  Multiply the right side.

The answer is:  \(\displaystyle x=-180\)

In order to solve this equation, we must divide by eight on both sides of the equation.

\(\displaystyle \frac{8x}{8} =\frac{ 888}{8}\)

Divide each digit by eight.

\(\displaystyle x=111\)

In order to solve for \(\displaystyle x\), divide both sides by negative three.

\(\displaystyle \frac{-3x }{-3}= \frac{69}{-3}\)

The negative three will cancel out on the left side.  Divide each digit on the numerator by three.

The answer is:  \(\displaystyle x=-23\)

Solve this equation by dividing six on both sides of the equation.

\(\displaystyle \frac{6x}{6}=\frac{ -31}{6}\)

The sixes will cancel out on the left side.  Leave the right side as an improper fraction.

The answer is:  \(\displaystyle -\frac{31}{6}\)

Solve by adding seven on both sides of the equation.  This will isolate \(\displaystyle x\) on both sides of the equation.

\(\displaystyle -7+x +(7) = 2+(7)\)

Add the left side of the equation.

\(\displaystyle x=2+7\)

Add the right side of the equation.

\(\displaystyle x=9\)

The answer is \(\displaystyle 9\).

To solve this equation, we must isolate \(\displaystyle x\) on the left side by multiplying each side by \(\displaystyle 4\), as follows:

\(\displaystyle \frac{x}{4}=-9\)

\(\displaystyle 4(\frac{x}{4})=(-9)(4)\)

\(\displaystyle x=-36\)

Therefore, the correct answer is \(\displaystyle x=-36\).

When solving for x, we want x to be alone.  Therefore, in the equation

\(\displaystyle x - 12 = 9\)

we add 12 to both sides. 

\(\displaystyle x - 12 + 12 = 9 + 12\)

\(\displaystyle x = 21\)

To solve for \(\displaystyle x\), we must isolate it to one side of the equation, as follows:

\(\displaystyle x-241=241\)

\(\displaystyle x-241+241=241+241\)

\(\displaystyle x=482\)

In order to find the solution we must isolate the variable m. The first step is to subtract 346 from both sides as follows:

\(\displaystyle 346 - 346 + m = 1111 - 346\)

\(\displaystyle 0 + m = 765\)

\(\displaystyle m = 765\)

We can check the answer by plugging in our solution of 765 into the original equation. 

\(\displaystyle 346 + 765 = 1111\)

\(\displaystyle 1111 = 1111\)

It works.