Pre-Algebra Examples

Graph 3(x-4)-5(2-x)<16-2(3x-2)
Step 1
Simplify .
Tap for more steps...
Step 1.1
Simplify each term.
Tap for more steps...
Step 1.1.1
Apply the distributive property.
Step 1.1.2
Multiply by .
Step 1.1.3
Apply the distributive property.
Step 1.1.4
Multiply by .
Step 1.1.5
Multiply by .
Step 1.2
Simplify by adding terms.
Tap for more steps...
Step 1.2.1
Add and .
Step 1.2.2
Subtract from .
Step 2
Simplify .
Tap for more steps...
Step 2.1
Simplify each term.
Tap for more steps...
Step 2.1.1
Apply the distributive property.
Step 2.1.2
Multiply by .
Step 2.1.3
Multiply by .
Step 2.2
Add and .
Step 3
Move all terms containing to the left side of the inequality.
Tap for more steps...
Step 3.1
Add to both sides of the inequality.
Step 3.2
Add and .
Step 4
Move all terms not containing to the right side of the inequality.
Tap for more steps...
Step 4.1
Add to both sides of the inequality.
Step 4.2
Add and .
Step 5
Divide each term in by and simplify.
Tap for more steps...
Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
Tap for more steps...
Step 5.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
Tap for more steps...
Step 5.3.1
Divide by .
Step 6