Pre-Algebra Examples

Solve for x (x-7)/5+7/5=-x/2
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
Combine the numerators over the common denominator.
Step 2.1.1.2
Combine the opposite terms in .
Tap for more steps...
Step 2.1.1.2.1
Add and .
Step 2.1.1.2.2
Add and .
Step 2.1.1.3
Combine and .
Step 2.1.1.4
Move to the left of .
Step 2.2
Simplify the right side.
Tap for more steps...
Step 2.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1
Move the leading negative in into the numerator.
Step 2.2.1.2
Cancel the common factor.
Step 2.2.1.3
Rewrite the expression.
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
Cancel the common factor of .
Tap for more steps...
Step 3.2.1.1.1
Cancel the common factor.
Step 3.2.1.1.2
Rewrite the expression.
Step 3.2.2
Simplify the right side.
Tap for more steps...
Step 3.2.2.1
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
Divide each term in by and simplify.
Tap for more steps...
Step 3.3.2.1
Divide each term in by .
Step 3.3.2.2
Simplify the left side.
Tap for more steps...
Step 3.3.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.3.2.2.1.1
Cancel the common factor.
Step 3.3.2.2.1.2
Divide by .
Step 3.3.2.3
Simplify the right side.
Tap for more steps...
Step 3.3.2.3.1
Divide by .