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.

\(\displaystyle x-77.8=-55.1\) 

Add \(\displaystyle 77.8\) on both sides.

Since \(\displaystyle 77.8\) is greater than \(\displaystyle 55.1\) and is positive, our answer is positive. Therefore, we treat it as a subtraction problem.

\(\displaystyle x=22.7\) 

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.

\(\displaystyle x-902=-2013\) 

Add \(\displaystyle 902\) on both sides.

Since \(\displaystyle 2013\) is greater than \(\displaystyle 902\) and is negative, our answer is negative. Therefore, we treat it as a subtraction problem.

\(\displaystyle x=-1111\)

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.

\(\displaystyle \frac{4}{5}x=80\) 

Multiply \(\displaystyle \frac{5}{4}\) on both sides. 

\(\displaystyle x=100\)

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.

\(\displaystyle -22x=506\) 

Divide \(\displaystyle -22\) on both sides. When dividing with a positive number, the answer is negative.

\(\displaystyle x=-23\)

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.

\(\displaystyle -4.6x=-87.4\) 

Divide \(\displaystyle -4.6\) on both sides. When dividing with another negative number, our answer is positive. 

\(\displaystyle x=19\)

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.

\(\displaystyle \frac{x}{5}=92\) 

Multiply \(\displaystyle 5\) on both sides.

\(\displaystyle x=460\)

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.

\(\displaystyle \frac{x}{11}=-36\) 

Multiply \(\displaystyle 11\) on both sides.

When multiplying with a negative number, the answer is negative.

\(\displaystyle x=-396\)

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.

\(\displaystyle -\frac{x}{13}=-29\) 

Multiply \(\displaystyle -13\) on both sides.

When multiplying with another negative number, the answer is positive.

\(\displaystyle x=377\)

In order to solve for the unknown variable, we will need to multiply by the reciprocal of the fraction in front of the unknown variable.

\(\displaystyle \frac{3}{8}x \cdot \frac{8}{3}= 8\cdot \frac{8}{3}\)

Simplify both sides.

\(\displaystyle x=\frac{64}{3}\)

The answer is:  \(\displaystyle \frac{64}{3}\)

\(\displaystyle x+45=93.2\) 

Subtract \(\displaystyle 45\) on both sides.

\(\displaystyle x=48.2\)