In order to solve for x, we will need to square both sides.

$\displaystyle (\sqrt{x})^2=(-3)^2$

Simplify both sides.

$\displaystyle x=9$

However, if we substitute $\displaystyle x=9$ back into the original equation, we will only find that positive three is a true solution, and not negative three.

The answer is:  $\displaystyle \textup{No solution.}$

To isolate the x-variable, divide by six on both sides of the equation.  This is similar to multiplying by one-sixth on both sides.

$\displaystyle 6x \times \frac{1}{6}= -\frac{3}{2}\times \frac{1}{6}$

Simplify both sides.

$\displaystyle x= -\frac{3}{12}= -\frac{1}{4}$

The answer is:  $\displaystyle -\frac{1}{4}$

In order to isolate the x-variable, multiply by $\displaystyle \frac{3}{7}$ on both sides.

$\displaystyle \frac{7}{3}x\cdot \frac{3}{7}=6\cdot \frac{3}{7}$

Simplify both sides of the equation.  On the right side, multiply the whole number to the numerator.

$\displaystyle x=\frac{18}{7}$

The answer is:  $\displaystyle \frac{18}{7}$

Divide by eight on both sides.

$\displaystyle \frac{8x}{8}=\frac{-38}{8}$

Simplify both sides.

$\displaystyle x=-\frac{38}{8}$

Reduce this fraction by common factors.

$\displaystyle x=-\frac{38}{8} = -\frac{19 \times 2}{4 \times 2}$

The answer is:  $\displaystyle -\frac{19}{4}$

Add 38 on both sides in order to isolate the x-variable.

$\displaystyle x-38 +38= 76+38$

Simplify both sides of the equation.

$\displaystyle x=114$

The answer is:  $\displaystyle 114$

To solve for $\displaystyle x$ we multiply both sides by 3.

$\displaystyle 3*\frac{x}{3}=3*6$

And we get

$\displaystyle x=18$

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

$\displaystyle x+17.21=90.23$ 

Subtract $\displaystyle 17.21$ on both sides.

$\displaystyle x=73.02$

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

$\displaystyle x+231=56$ 

Subtract $\displaystyle 231$ on both sides.

Since $\displaystyle 231$ is greater than $\displaystyle 56$ and is negative, our answer is negative. Therefore, we treat as a subtraction problem. 

$\displaystyle x=-175$

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

$\displaystyle x+45.78=-23.45$ 

Subtract $\displaystyle 45.78$ on both sides.

When adding two negative numbers, we add the numbers and then put a minus sign in front of it.

$\displaystyle x=-69.23$

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

$\displaystyle x-423=1021$ 

Add $\displaystyle 423$ on both sides.

$\displaystyle x=1444$