Algebra Examples

Solve for x 1/2x+1/3x-1/5*(x+3)=1/10
Step 1
Simplify .
Tap for more steps...
Step 1.1
Simplify each term.
Tap for more steps...
Step 1.1.1
Combine and .
Step 1.1.2
Combine and .
Step 1.1.3
Apply the distributive property.
Step 1.1.4
Combine and .
Step 1.1.5
Multiply .
Tap for more steps...
Step 1.1.5.1
Multiply by .
Step 1.1.5.2
Combine and .
Step 1.1.6
Move the negative in front of the fraction.
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
To write as a fraction with a common denominator, multiply by .
Step 1.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 1.4.3
Multiply by .
Step 1.4.4
Multiply by .
Step 1.5
Combine the numerators over the common denominator.
Step 1.6
Reorder and .
Step 1.7
Add and .
Step 1.8
To write as a fraction with a common denominator, multiply by .
Step 1.9
To write as a fraction with a common denominator, multiply by .
Step 1.10
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 1.10.1
Multiply by .
Step 1.10.2
Multiply by .
Step 1.10.3
Multiply by .
Step 1.10.4
Multiply by .
Step 1.11
Combine the numerators over the common denominator.
Step 1.12
Simplify each term.
Tap for more steps...
Step 1.12.1
Simplify the numerator.
Tap for more steps...
Step 1.12.1.1
Factor out of .
Tap for more steps...
Step 1.12.1.1.1
Factor out of .
Step 1.12.1.1.2
Factor out of .
Step 1.12.1.1.3
Factor out of .
Step 1.12.1.2
Multiply by .
Step 1.12.1.3
Multiply by .
Step 1.12.1.4
Subtract from .
Step 1.12.2
Move to the left of .
Step 2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.1
Add to both sides of the equation.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 2.3.1
Multiply by .
Step 2.3.2
Multiply by .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
Tap for more steps...
Step 2.5.1
Multiply by .
Step 2.5.2
Add and .
Step 3
Multiply both sides of the equation by .
Step 4
Simplify both sides of the equation.
Tap for more steps...
Step 4.1
Simplify the left side.
Tap for more steps...
Step 4.1.1
Simplify .
Tap for more steps...
Step 4.1.1.1
Cancel the common factor of .
Tap for more steps...
Step 4.1.1.1.1
Cancel the common factor.
Step 4.1.1.1.2
Rewrite the expression.
Step 4.1.1.2
Cancel the common factor of .
Tap for more steps...
Step 4.1.1.2.1
Factor out of .
Step 4.1.1.2.2
Cancel the common factor.
Step 4.1.1.2.3
Rewrite the expression.
Step 4.2
Simplify the right side.
Tap for more steps...
Step 4.2.1
Simplify .
Tap for more steps...
Step 4.2.1.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.1.1.1
Factor out of .
Step 4.2.1.1.2
Cancel the common factor.
Step 4.2.1.1.3
Rewrite the expression.
Step 4.2.1.2
Combine and .
Step 4.2.1.3
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: