Pre-Algebra Examples

Solve for x 3-2x(x-1)=x(3-2x)-(x-3)
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
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
Move to the left of .
Step 2.1.3
Rewrite using the commutative property of multiplication.
Step 2.1.4
Multiply by by adding the exponents.
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Step 2.1.4.1
Move .
Step 2.1.4.2
Multiply by .
Step 2.1.5
Apply the distributive property.
Step 2.1.6
Multiply by .
Step 2.2
Subtract from .
Step 3
Simplify each term.
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Step 3.1
Apply the distributive property.
Step 3.2
Multiply by by adding the exponents.
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Step 3.2.1
Move .
Step 3.2.2
Multiply by .
Step 3.3
Multiply by .
Step 4
Move all terms containing to the left side of the equation.
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Step 4.1
Add to both sides of the equation.
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Combine the opposite terms in .
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Step 4.3.1
Add and .
Step 4.3.2
Add and .
Step 4.3.3
Subtract from .
Step 4.3.4
Add and .
Step 5
Since , the equation will always be true for any value of .
All real numbers
Step 6
The result can be shown in multiple forms.
All real numbers
Interval Notation: