Finite Math Examples

Solve for x 10-|8-x|=-6
Step 1
Move all terms not containing to the right side of the equation.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Subtract from .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Dividing two negative values results in a positive value.
Step 2.2.2
Divide by .
Step 2.3
Simplify the right side.
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Step 2.3.1
Divide by .
Step 3
Remove the absolute value term. This creates a on the right side of the equation because .
Step 4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.1
First, use the positive value of the to find the first solution.
Step 4.2
Move all terms not containing to the right side of the equation.
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Step 4.2.1
Subtract from both sides of the equation.
Step 4.2.2
Subtract from .
Step 4.3
Divide each term in by and simplify.
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Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
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Step 4.3.2.1
Dividing two negative values results in a positive value.
Step 4.3.2.2
Divide by .
Step 4.3.3
Simplify the right side.
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Step 4.3.3.1
Divide by .
Step 4.4
Next, use the negative value of the to find the second solution.
Step 4.5
Move all terms not containing to the right side of the equation.
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Step 4.5.1
Subtract from both sides of the equation.
Step 4.5.2
Subtract from .
Step 4.6
Divide each term in by and simplify.
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Step 4.6.1
Divide each term in by .
Step 4.6.2
Simplify the left side.
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Step 4.6.2.1
Dividing two negative values results in a positive value.
Step 4.6.2.2
Divide by .
Step 4.6.3
Simplify the right side.
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Step 4.6.3.1
Divide by .
Step 4.7
The complete solution is the result of both the positive and negative portions of the solution.