Solving Equations in One Variable

Algebra 1 Tutorial

Solving Equations in One Variable

Intro

Solving equations in one variable is the most common problem in Algebra I.

Sample Problem

2x – 7(x + 4) = 3x + 2

Solution

Step 1: Write the problem

2x - 7(x + 4) = 3x + 2 

Step 2: Distribute the -7 inside the parentheses

2x -7x -28 = 3x + 2

Step 3: Combine like terms on each side of the equal sign

-5x-28=3x+2

Step 4: Move the variable terms to one side of the equal sign

-5x-28=3x+2
+5x    +5x
-----------
   -28=8x+2

Step 5: Move the non-variable terms to one side of the equal sign

-28=8x+2
-2    -2
---------
-30=8x

Step 6: Divide both sides by 8

-30/8 = x

Step 7: Simplify to a reduced fraction or decimal

-15/4 or 3.75 = x



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