Quick Math Homework Help
5x -3    = -23
+3   = +3
5x       = -20

5x/5    = -20/5

x = -4
You can solve an inequality like a normal 2 step equation unless you multiply or divide by a negative number and then you reverse the inequality.
2x -11    ≥   7
2x  +11  ≥+11
2x          ≥  18
2x/2      ≥  18/2
x          ≥     9

Be careful with inequalities. If you have to divide or multiply by a negative number you will reverse the inequality symbol.
For example.

-2x -11 ≥    7
-2x +11 ≥ +11
-2x        ≥  18
Now you divide by negative 2 so reverse the inequality
-2x/-2    ≤  18/-2
x           ≤   -9

### 2 step equations with inequalities

First subtract 5 from both sides, then multiply each side by the reciprocal of the fraction.
3/4x + 5 =  9
-5 =-5
3/4x      =   4
3/4*4/3 x= 4* 4/3
x  = 16/3

### 2 step equations with fractions

In this example add .8 to both sides, then divide each side by .2

.2x - .8 = 1.6
+ .8 =+.8
.2x        = 2.4
.2x/.2    = 2.4/.2
x =  1.2

### 2 step equations with decimals

When solving a two-step equation keep two goals in mind:

• Goal 1. Have only variables on one side of the equation and numbers on the other side.
• Goal 2. The number in front of the variable should be equal to one

Related websites: 2 step equations

Solving Multi-Step Linear Equations: Purple Math provides a very detailed description for solving multi-step equations.

Algebra Calculator/Math Papa  Very powerful yet free algebra calculator from Math Papa.

Steps for solving a two step linear equation.

1. You actually work the order of operations backwards so:
PE MD AS
becomes,

SA  DM  EP

S= Subtract A = Addition  D= Division  M =Multiplication  E= Exponents
P= Parentheses
​

1. Complete one step at a time

2. Apply the same operation to both sides

3. Bring down your numbers each time

# Solving 2 Step Equations

Transcript for 2 Step Equations

Step 1.Start with subtraction , and complete the same operation on each side.  In order to eliminate the -3 you add +3. This helps accomplish goal 1 of only having variables on one side of the equation.
Step 2. Next up,division so divide each side by 5  to accomplish goal 2 which is to have only a 1 in front of the variable.
Remember to work PEMDAS backwards. It becomes

Subtraction Addition Division Multiplication Exponents Division

Follow these steps for solving two step equations with fractions

### What about two step equations with parentheses?

Step 1. Start with subtraction and complete the same operation on each side. In this case add 10 to each side. This helps completes Goal 1.
Step 3. Complete a cross product . This completes Goal 2
Step 2. Bring down your numbers each time
This helps complete Goal 1.
Step 2. Subtract 10 from each side. This completes Goal 2.
Video solves the following 2 step equations:
18x -14 = -14

-8 = x/40 -10

4(n+10) = -4

x =80