Linear Algebra Examples

Find the Domain 3(7x-2)=38-2(5-2x)
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Simplify by adding zeros.
Step 1.3
Apply the distributive property.
Step 1.4
Multiply.
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Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Multiply by .
Step 2.1.3
Multiply by .
Step 2.2
Subtract from .
Step 3
Move all terms containing to the left side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
Step 4
Move all terms not containing to the right side of the equation.
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Step 4.1
Add to both sides of the equation.
Step 4.2
Add and .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Divide by .
Step 6
The domain is the set of all valid values.
Step 7