Basic Math Examples

Solve for R (R+4)/6=5/6-(R-1)/4
Step 1
Multiply both sides by .
Step 2
Simplify.
Tap for more steps...
Step 2.1
Simplify the left side.
Tap for more steps...
Step 2.1.1
Cancel the common factor of .
Tap for more steps...
Step 2.1.1.1
Cancel the common factor.
Step 2.1.1.2
Rewrite the expression.
Step 2.2
Simplify the right side.
Tap for more steps...
Step 2.2.1
Simplify .
Tap for more steps...
Step 2.2.1.1
To write as a fraction with a common denominator, multiply by .
Step 2.2.1.2
To write as a fraction with a common denominator, multiply by .
Step 2.2.1.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 2.2.1.3.1
Multiply by .
Step 2.2.1.3.2
Multiply by .
Step 2.2.1.3.3
Multiply by .
Step 2.2.1.3.4
Multiply by .
Step 2.2.1.4
Combine the numerators over the common denominator.
Step 2.2.1.5
Simplify the numerator.
Tap for more steps...
Step 2.2.1.5.1
Multiply by .
Step 2.2.1.5.2
Apply the distributive property.
Step 2.2.1.5.3
Multiply by .
Step 2.2.1.5.4
Apply the distributive property.
Step 2.2.1.5.5
Multiply by .
Step 2.2.1.5.6
Multiply by .
Step 2.2.1.5.7
Add and .
Step 2.2.1.6
Simplify terms.
Tap for more steps...
Step 2.2.1.6.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.6.1.1
Factor out of .
Step 2.2.1.6.1.2
Cancel the common factor.
Step 2.2.1.6.1.3
Rewrite the expression.
Step 2.2.1.6.2
Factor out of .
Step 2.2.1.6.3
Rewrite as .
Step 2.2.1.6.4
Factor out of .
Step 2.2.1.6.5
Simplify the expression.
Tap for more steps...
Step 2.2.1.6.5.1
Rewrite as .
Step 2.2.1.6.5.2
Move the negative in front of the fraction.
Step 3
Solve for .
Tap for more steps...
Step 3.1
Multiply both sides by .
Step 3.2
Simplify.
Tap for more steps...
Step 3.2.1
Simplify the left side.
Tap for more steps...
Step 3.2.1.1
Simplify .
Tap for more steps...
Step 3.2.1.1.1
Apply the distributive property.
Step 3.2.1.1.2
Simplify the expression.
Tap for more steps...
Step 3.2.1.1.2.1
Move to the left of .
Step 3.2.1.1.2.2
Multiply by .
Step 3.2.2
Simplify the right side.
Tap for more steps...
Step 3.2.2.1
Simplify .
Tap for more steps...
Step 3.2.2.1.1
Cancel the common factor of .
Tap for more steps...
Step 3.2.2.1.1.1
Move the leading negative in into the numerator.
Step 3.2.2.1.1.2
Cancel the common factor.
Step 3.2.2.1.1.3
Rewrite the expression.
Step 3.2.2.1.2
Apply the distributive property.
Step 3.2.2.1.3
Multiply.
Tap for more steps...
Step 3.2.2.1.3.1
Multiply by .
Step 3.2.2.1.3.2
Multiply by .
Step 3.3
Solve for .
Tap for more steps...
Step 3.3.1
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 3.3.1.1
Add to both sides of the equation.
Step 3.3.1.2
Add and .
Step 3.3.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 3.3.2.1
Subtract from both sides of the equation.
Step 3.3.2.2
Subtract from .
Step 3.3.3
Divide each term in by and simplify.
Tap for more steps...
Step 3.3.3.1
Divide each term in by .
Step 3.3.3.2
Simplify the left side.
Tap for more steps...
Step 3.3.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.3.3.2.1.1
Cancel the common factor.
Step 3.3.3.2.1.2
Divide by .
Step 3.3.3.3
Simplify the right side.
Tap for more steps...
Step 3.3.3.3.1
Divide by .