Basic Math Examples

Solve for z (2z+1)/3-(z-2)/5-5=(z+1)/10+4
Step 1
Simplify .
Tap for more steps...
Step 1.1
Find the common denominator.
Tap for more steps...
Step 1.1.1
Multiply by .
Step 1.1.2
Multiply by .
Step 1.1.3
Multiply by .
Step 1.1.4
Multiply by .
Step 1.1.5
Write as a fraction with denominator .
Step 1.1.6
Multiply by .
Step 1.1.7
Multiply by .
Step 1.1.8
Multiply by .
Step 1.1.9
Reorder the factors of .
Step 1.1.10
Multiply by .
Step 1.2
Combine the numerators over the common denominator.
Step 1.3
Simplify each term.
Tap for more steps...
Step 1.3.1
Apply the distributive property.
Step 1.3.2
Multiply by .
Step 1.3.3
Multiply by .
Step 1.3.4
Apply the distributive property.
Step 1.3.5
Multiply by .
Step 1.3.6
Apply the distributive property.
Step 1.3.7
Multiply by .
Step 1.3.8
Multiply by .
Step 1.3.9
Multiply by .
Step 1.4
Simplify by adding terms.
Tap for more steps...
Step 1.4.1
Subtract from .
Step 1.4.2
Simplify by adding and subtracting.
Tap for more steps...
Step 1.4.2.1
Add and .
Step 1.4.2.2
Subtract from .
Step 2
Simplify .
Tap for more steps...
Step 2.1
To write as a fraction with a common denominator, multiply by .
Step 2.2
Simplify terms.
Tap for more steps...
Step 2.2.1
Combine and .
Step 2.2.2
Combine the numerators over the common denominator.
Step 2.3
Simplify the numerator.
Tap for more steps...
Step 2.3.1
Multiply by .
Step 2.3.2
Add and .
Step 3
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 3.1
Subtract from both sides of the equation.
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
To write as a fraction with a common denominator, multiply by .
Step 3.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 3.4.1
Multiply by .
Step 3.4.2
Multiply by .
Step 3.4.3
Multiply by .
Step 3.4.4
Multiply by .
Step 3.5
Combine the numerators over the common denominator.
Step 3.6
Simplify the numerator.
Tap for more steps...
Step 3.6.1
Apply the distributive property.
Step 3.6.2
Multiply by .
Step 3.6.3
Multiply by .
Step 3.6.4
Apply the distributive property.
Step 3.6.5
Multiply by .
Step 3.6.6
Apply the distributive property.
Step 3.6.7
Multiply by .
Step 3.6.8
Multiply by .
Step 3.6.9
Subtract from .
Step 3.6.10
Subtract from .
Step 4
Set the numerator equal to zero.
Step 5
Solve the equation for .
Tap for more steps...
Step 5.1
Add to both sides of the equation.
Step 5.2
Divide each term in by and simplify.
Tap for more steps...
Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
Tap for more steps...
Step 5.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: