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How to solve for the variable "X"

How to solve for the variable "X"

The following problems have tripped me up. I can't seem to figure out how to solve them. I've tried, several times, and had my algebra teacher explain them, but I still can't get the answers.

3x - 11 = 6
2x - 7 = 3 + x
3 + 3x = 9 + 2x
3x - 3 = 6 + x

Solution Preview

Basic Tips for Solving Equations

Suppose I start with something like

x = 5

That's no fun, is it? There's nothing to figure out. But I can multiply both sides of the equation by 3 without changing the truth of the equation, right?

3x = 15

And there are a lot of different ways I can write 3:

3 = 1 + 2

= 7 - 4

= -5 + 8

So I can change my equation to look like this:

3x = 15

x(3) = 15

x(7 - 4) = 15

7x - 4x = 15

And since I can add or subtract anything on both sides of an equation without changing the truth of the equation, I can add 4x to both sides:

7x - 4x = 15

7x - 4x ...

Solution Summary

This solution assists to solve for the variable "X" for the problems in a step-by-step process.

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