Basic Math Examples

Solve for t 2t+4/3=11/3+(19t)/3
Step 1
Move all terms containing to the left side of the equation.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Combine and .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Combine the numerators over the common denominator.
Step 1.6
Multiply by .
Step 1.7
Subtract from .
Step 1.8
Factor out of .
Step 1.9
Rewrite as .
Step 1.10
Factor out of .
Step 1.11
Rewrite as .
Step 1.12
Move the negative in front of the fraction.
Step 2
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Step 3
Simplify .
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Step 3.1
Apply the distributive property.
Step 3.2
Multiply.
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Step 3.2.1
Multiply by .
Step 3.2.2
Multiply by .
Step 4
Move all terms not containing to the right side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Subtract from .
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
Move the negative in front of the fraction.
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: