1. The document provides worked solutions for basic single-step algebra equations, showing the step-by-step work to isolate the variable. 2. Examples include solving equations such as 2x = 6 and x + 6 = 9, arriving at the solution x = 3 in both cases. 3. A more complex example solves the equation 2x + 4 = 8 by getting rid of elements on the side of the x until it is isolated, resulting in the solution x = 2.

1. Algebra Worked Solutions
Example 1:
Basic Single Step Algebra
2x = 6 1. Get x on its own.
This is the same as 2´ ___ = 6
x=
6
2
2. Find the value of x.
i.e. 6 ¸2=x
x = 3
Example 1b:
x + 6 = 9
x = 9 - 6
x = 3
Example 2:
Example 3:
Use the same principles now with the harder questions.
An explanation of the problem to the right.
2x + 4 = 8
i.e. 2 ´ x + 4 = 8
Get rid of everything on the side of the x until it is left on its own.
2x = 8- 4
2x = 4 That is: 2 multiplied by x = 4 or 2 ´ ___=4
To get rid of the 2 you have to do the opposite sum.
2x ¸2 = 4¸2 This gets the x on its own as 1x = x.
x = 2
The Maths without
the words..
2x + 4 = 8
2x = 8- 4
2x = 4
2x ¸ 2 = 4 ¸ 2
x = 2
2x + 4 = 4x +6
Bring all the x's on one side and the numbers on the other.
2x - 4x = 6 - 4 We used the minus sign as it's the opposite of the plus sign
that was in front of the numbers.
-2x = 2
-2x ¸-2 = 2 ¸-2 In math, we write this like this
-2x
-2
=
2
-2
x = -1 which is the answer as x is now on its own.
Just the Math
2x + 4 = 4x + 6
2x - 4x = 6 - 4
-2x = 2
-2x
-2
=
2
-2
x = -1