Algebra Examples

Solve for x (2(x+9))/3=(3(x+8))/5+88
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
Simplify .
Tap for more steps...
Step 2.1.1.1
Cancel the common factor of .
Tap for more steps...
Step 2.1.1.1.1
Cancel the common factor.
Step 2.1.1.1.2
Rewrite the expression.
Step 2.1.1.2
Apply the distributive property.
Step 2.1.1.3
Multiply by .
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
Simplify terms.
Tap for more steps...
Step 2.2.1.2.1
Combine and .
Step 2.2.1.2.2
Combine the numerators over the common denominator.
Step 2.2.1.3
Simplify the numerator.
Tap for more steps...
Step 2.2.1.3.1
Apply the distributive property.
Step 2.2.1.3.2
Multiply by .
Step 2.2.1.3.3
Multiply by .
Step 2.2.1.3.4
Add and .
Step 2.2.1.4
Combine fractions.
Tap for more steps...
Step 2.2.1.4.1
Combine and .
Step 2.2.1.4.2
Move to the left of .
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
Multiply.
Tap for more steps...
Step 3.2.1.1.2.1
Multiply by .
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
Cancel the common factor.
Step 3.2.2.1.1.2
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
Subtract from both sides of the equation.
Step 3.3.1.2
Subtract from .
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 .