Basic Math Examples

Solve for r -2r+1/3-5/2r=-25/6
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
Move to the left of .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Simplify terms.
Tap for more steps...
Step 1.3.1
Combine and .
Step 1.3.2
Combine the numerators over the common denominator.
Step 1.4
Simplify each term.
Tap for more steps...
Step 1.4.1
Simplify the numerator.
Tap for more steps...
Step 1.4.1.1
Factor out of .
Tap for more steps...
Step 1.4.1.1.1
Factor out of .
Step 1.4.1.1.2
Factor out of .
Step 1.4.1.1.3
Factor out of .
Step 1.4.1.2
Multiply by .
Step 1.4.1.3
Subtract from .
Step 1.4.2
Move to the left of .
Step 1.4.3
Move the negative in front of the fraction.
Step 2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.1
Subtract from 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
Subtract from .
Step 2.6
Cancel the common factor of and .
Tap for more steps...
Step 2.6.1
Factor out of .
Step 2.6.2
Cancel the common factors.
Tap for more steps...
Step 2.6.2.1
Factor out of .
Step 2.6.2.2
Cancel the common factor.
Step 2.6.2.3
Rewrite the expression.
Step 2.7
Move the negative in front of the fraction.
Step 3
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Step 4
Divide each term in by and simplify.
Tap for more steps...
Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
Tap for more steps...
Step 4.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
Tap for more steps...
Step 4.3.1
Divide by .