\(\displaystyle 1.3x+1.5=9.3\) Subtract \(\displaystyle 1.5\) on both sides.

\(\displaystyle 1.3x=7.8\) Divide \(\displaystyle 1.3\) on both sides. 

\(\displaystyle x=6\)

\(\displaystyle 0.7x+12.5=4.8\) Subtract \(\displaystyle 12.5\) on both sides. Since \(\displaystyle 12.5\) is greater than \(\displaystyle 4.8\) and is negative, our answer is negative. We treat as a normal subtraction.

\(\displaystyle 0.7x=-7.7\) Divide \(\displaystyle 0.7\) on both sides. When dividing with a negative number, our answer is negative.

\(\displaystyle x=-11\)

\(\displaystyle -1.2x+9.1=22.3\) Subtract \(\displaystyle 9.1\) on both sides.

\(\displaystyle -1.2x=13.2\) Divide \(\displaystyle -1.2\) on both sides.

\(\displaystyle x=-11\)

\(\displaystyle \frac{x}{2}-34=-13\) Add \(\displaystyle 34\) on both sides. Since \(\displaystyle 34\) is greater than \(\displaystyle 13\) and is positive, our answer is positive. We treat as a normal subtraction.

\(\displaystyle \frac{x}{2}=21\) Multiply \(\displaystyle 2\) on both sides.

\(\displaystyle x=42\)

\(\displaystyle \frac{13x}{9}+45=129\) Subtract \(\displaystyle 45\) on both sides.

\(\displaystyle \frac{13x}{9}=84\) Multiply \(\displaystyle \frac{9}{13}\) on both sides.

\(\displaystyle x=\frac{756}{13}\)

\(\displaystyle \frac{9x}{11}-83=-21\) Add \(\displaystyle 83\) on both sides. Since \(\displaystyle 83\) is greater than \(\displaystyle 21\) and is positive, our answer is positive. We treat as a normal subtraction.

\(\displaystyle \frac{9x}{11}=62\) Multply \(\displaystyle \frac{11}{9}\) on both sides.

\(\displaystyle x=\frac{682}{9}\)

To solve for x, we need to get x to stand alone.  Given the equation

\(\displaystyle 18x - 4 = 14\)

we will first add 4 to both sides.  So,

\(\displaystyle 18x - 4 + 4 = 14 + 4\)

\(\displaystyle 18x = 18\)

Now, we will divide both sides by 18.  We get

\(\displaystyle \frac{18x}{18} = \frac{18}{18}\)

\(\displaystyle x = 1\)

To isolate the x variable, we can add the variable to move it to the right side of the equation.

\(\displaystyle 6-x +x= 19+x\)

Simplify both sides.

\(\displaystyle 6= 19+x\)

Subtract 19 from both sides to move the 19 to the left side of the equation.

\(\displaystyle -13=x\)

The answer is:  \(\displaystyle -13\)

Add the variable on both sides to move the variable to the right side of the equation.

\(\displaystyle 10-x +(x) = 30+(x)\).

Simplify both sides.

\(\displaystyle 10=30+x\)

Subtract thirty on both sides.

\(\displaystyle -20=x\)

The answer is:  \(\displaystyle -20\)

Subtract eight from both sides.

\(\displaystyle 5x+8-8 = -37-8\)

Simplify.

\(\displaystyle 5x=-45\)

Divide by five on both sides.

\(\displaystyle \frac{5x}{5}=\frac{-45}{5}\)

Simplify both sides of the equation.

\(\displaystyle x=-\frac{45}{5}=-9\)

The answer is:  \(\displaystyle -9\)