## Solving for the value of a variable in an equation

Let us solve the value of a in the equation 2a + 6 = 14 using inverses:
First, we write down the expression:
2a + 6 = 14.
Then, undo the + 6 by subtracting 6. Remember, you need to do it to BOTH sides!
2a + 6 - 6 = 14 - 6,
so 2a = 8.
Undo the multiply by 2 by dividing by 2, again on both sides:
2a ÷ 2 = 8 ÷ 2
therefore the answer is a = 4

Solve the equation 3x + 4 = x + 28, and find the value of x.
Solution:

First, lets put together common terms like this:

3x-x=28-4
2x=24
2x ÷ 2 = 24 ÷ 2
x = 12

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