LINEAR EQUATION - Solve for x in the following equation.

- Example 1:
- Multiply both sides by the lowest common multiple of 4, 6, and
3, or 12.
- Simplify:
3(3*x*) + 2(5) = 60*x* - 500

9*x* + 10 = 60*x* - 500

- Subtract 9
*x* from both sides of the equation:
10 = 51*x* - 500

- Add 500 to both sides of the equation:
510 = 51*x*

- Divide both sides by 51:
*x* =

= 10

- The answer is
*x* = 10.
Check the solution by substituting 10 in the original equation
for *x*. If the left side of the equation equals the right side of
the equation after the substitution, you have found the correct
answer.

- Left side:
- Right Side:

You can also check your answer by graphing
(left side of the
original equation minus the right side of the original equation). The
graph will cross the *x*-axis at *x*=10.

### If you would like to review another example, click on Example

### If you would like to test yourself by working some
problems similar to this example, click on Problem.

If you would like to go back to the equation table of contents, click
on Contents.

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[Trigonometry]
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[Geometry]
[Differential Equations]
[Calculus]
[Complex Variables]
[Matrix Algebra]

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**Author:Nancy Marcus**

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