Collect the like terms by subtracting \(\displaystyle 8x\) from both sides:

\(\displaystyle 4x - 8x < 8x + 72 - 8x\)

\(\displaystyle -4x < 72\)

Isolate \(\displaystyle x\) on the right by dividing both sides by \(\displaystyle -4\). Reverse the direction of the inequality symbol, since you are dividing by a negative number:

\(\displaystyle \frac{-4x}{-4} > \frac{72}{-4}\)

\(\displaystyle x > -18\)

The solution set is \(\displaystyle \left \{ x | x > -18\right \}\).

Add \(\displaystyle 2x\) on both sides.

\(\displaystyle 7x-3 +2x= -5-2x+2x\)

\(\displaystyle 9x-3 = -5\)

Add three on both sides.

\(\displaystyle 9x-3+3 = -5+3\)

\(\displaystyle 9x =-2\)

Divide by 9 on both sides.

\(\displaystyle \frac{9x}{9} =\frac{-2}{9}\)

The answer is:  \(\displaystyle -\frac{2}{9}\)

Add \(\displaystyle 8x\) on both sides.

\(\displaystyle -8x+7+8x = 9x+1+8x\)

\(\displaystyle 7= 17x+1\)

Subtract 1 from both sides.

\(\displaystyle 7-1= 17x+1-1\)

\(\displaystyle 6 = 17x\)

Divide by 17 on both sides.

\(\displaystyle \frac{6 }{17}= \frac{17x}{17}\)

The answer is:  \(\displaystyle \frac{6 }{17}\)

Subtract 5 from both sides.

\(\displaystyle -3x+5 -5= -8-5\)

\(\displaystyle -3x = -13\)

Divide by negative three on both sides.

\(\displaystyle \frac{-3x}{-3} = \frac{-13}{-3}\)

The answer is:  \(\displaystyle \frac{13}{3}\)

To answer the question, we will solve for x. We get

\(\displaystyle 8x - 13 = 99\)

\(\displaystyle 8x-13+13=99+13\)

\(\displaystyle 8x-0=112\)

\(\displaystyle 8x=112\)

\(\displaystyle \frac{8x}{8} = \frac{112}{8}\)

\(\displaystyle x = 14\)

Distribute the two with both of the terms inside the binomial.

\(\displaystyle 2x-6 = -13\)

Add 6 on both sides.

\(\displaystyle 2x-6 +6= -13+6\)

\(\displaystyle 2x =-7\)

Divide by 2 on both sides.

\(\displaystyle \frac{2x }{2}=\frac{-7}{2}\)

The answer is:  \(\displaystyle -\frac{7}{2}\)

\(\displaystyle \sqrt{3x-3}+2=14\)

Start by subtracting \(\displaystyle 2\) from both sides.

\(\displaystyle \sqrt{3x-3}=12\)

Square both sides of the equation to get rid of the square root.

\(\displaystyle 3x-3=144\)

Add \(\displaystyle 3\) to both sides of the equation.

\(\displaystyle 3x=147\)

Divide both sides by \(\displaystyle 3\).

\(\displaystyle x=49\)

To answer the question, we will solve for h. We get

\(\displaystyle 7h+19=103\)

\(\displaystyle 7h+19-19=103-19\)

\(\displaystyle 7h+0=84\)

\(\displaystyle 7h=84\)

\(\displaystyle \frac{7h}{7} = \frac{84}{7}\)

\(\displaystyle h=12\)

To isolate the x-variable, we will need to multiply by one-third on both sides.

\(\displaystyle 3x \cdot \frac{1}{3}= -\frac{1}{11} \cdot \frac{1}{3}\)

The answer is:  \(\displaystyle -\frac{1}{33}\)

To answer the question, we will solve for x. So, we get

\(\displaystyle 9x-5=94\)

\(\displaystyle 9x-5+5=94+5\)

\(\displaystyle 9x-0=99\)

\(\displaystyle 9x=99\)

\(\displaystyle \frac{9x}{9} = \frac{99}{9}\)

\(\displaystyle x=11\)